6730780500 has 108 divisors (see below), whose sum is σ = 21250744788. Its totient is φ = 1793407200.

The previous prime is 6730780489. The next prime is 6730780501. The reversal of 6730780500 is 50870376.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6730780500 is a `hidden beast` number, since 6 + 73 + 0 + 7 + 80 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 215384976 + 6515395524 = 14676^2 + 80718^2 .

It is a super-2 number, since 2×6730780500² = 90606812278360500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6730780501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5502889 + ... + 5504111.

Almost surely, 2^6730780500 is an apocalyptic number.

6730780500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6730780500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10625372394).

6730780500 is an abundant number, since it is smaller than the sum of its proper divisors (14519964288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6730780500 is a wasteful number, since it uses less digits than its factorization.

6730780500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 6730780500 is about 82041.3340944673. The cubic root of 6730780500 is about 1888.0861621150.

Multiplying 6730780500 by its product of nonzero digits (35280), we get a square (237461936040000 = 15409800²).

The spelling of 6730780500 in words is "six billion, seven hundred thirty million, seven hundred eighty thousand, five hundred".