6897766400 has 156 divisors (see below), whose sum is σ = 19549885632. Its totient is φ = 2364702720.

The previous prime is 6897766399. The next prime is 6897766409. The reversal of 6897766400 is 46677986.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6897766409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 711989 + ... + 721611.

Almost surely, 2^6897766400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6897766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9774942816).

6897766400 is an abundant number, since it is smaller than the sum of its proper divisors (12652119232).

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

6897766400 is an equidigital number, since it uses as much as digits as its factorization.

6897766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9664 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The square root of 6897766400 is about 83052.7928488862. The cubic root of 6897766400 is about 1903.5728156810.

The spelling of 6897766400 in words is "six billion, eight hundred ninety-seven million, seven hundred sixty-six thousand, four hundred".