64079769600 has 1872 divisors, whose sum is σ = 305680256640. Its totient is φ = 13005619200.

The previous prime is 64079769541. The next prime is 64079769601. The reversal of 64079769600 is 696797046.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64079769601) 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 143 ways as a sum of consecutive naturals, for example, 1490227179 + ... + 1490227221.

Almost surely, 2^64079769600 is an apocalyptic number.

64079769600 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 64079769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152840128320).

64079769600 is an abundant number, since it is smaller than the sum of its proper divisors (241600487040).

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

64079769600 is a wasteful number, since it uses less digits than its factorization.

64079769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 64079769600 in words is "sixty-four billion, seventy-nine million, seven hundred sixty-nine thousand, six hundred".