6493780800 has 672 divisors, whose sum is σ = 26386088960. Its totient is φ = 1542758400.

The previous prime is 6493780789. The next prime is 6493780807. The reversal of 6493780800 is 80873946.

It is a happy number.

6493780800 is a `hidden beast` number, since 6 + 493 + 7 + 80 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6493780807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17409414 + ... + 17409786.

Almost surely, 2^6493780800 is an apocalyptic number.

6493780800 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 6493780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193044480).

6493780800 is an abundant number, since it is smaller than the sum of its proper divisors (19892308160).

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

6493780800 is a wasteful number, since it uses less digits than its factorization.

6493780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6493780800 is about 80583.9984115953. The cubic root of 6493780800 is about 1865.6601773625.

The spelling of 6493780800 in words is "six billion, four hundred ninety-three million, seven hundred eighty thousand, eight hundred".