6387796800 has 756 divisors, whose sum is σ = 28846430496. Its totient is φ = 1325721600.

The previous prime is 6387796783. The next prime is 6387796819. The reversal of 6387796800 is 86977836.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7761189 + ... + 7762011.

Almost surely, 2^6387796800 is an apocalyptic number.

6387796800 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 6387796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423215248).

6387796800 is an abundant number, since it is smaller than the sum of its proper divisors (22458633696).

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

6387796800 is a wasteful number, since it uses less digits than its factorization.

6387796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6387796800 is about 79923.6936083412. The cubic root of 6387796800 is about 1855.4547360305.

The spelling of 6387796800 in words is "six billion, three hundred eighty-seven million, seven hundred ninety-six thousand, eight hundred".