6782100480 has 264 divisors, whose sum is σ = 23951815992. Its totient is φ = 1773797376.

The previous prime is 6782100463. The next prime is 6782100499. The reversal of 6782100480 is 840012876.

6782100480 is a `hidden beast` number, since 6 + 78 + 2 + 100 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 6379536384 = 20064^2 + 79872^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2440852 + ... + 2443628.

Almost surely, 2^6782100480 is an apocalyptic number.

6782100480 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 6782100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975907996).

6782100480 is an abundant number, since it is smaller than the sum of its proper divisors (17169715512).

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

6782100480 is a wasteful number, since it uses less digits than its factorization.

6782100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6782100480 is about 82353.5092148477. The cubic root of 6782100480 is about 1892.8726953619.

The spelling of 6782100480 in words is "six billion, seven hundred eighty-two million, one hundred thousand, four hundred eighty".