64076625600 has 336 divisors, whose sum is σ = 227085278112. Its totient is φ = 15724707840.

The previous prime is 64076625581. The next prime is 64076625617. The reversal of 64076625600 is 652667046.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23273824 + ... + 23276576.

It is an arithmetic number, because the mean of its divisors is an integer number (675849042).

Almost surely, 2^64076625600 is an apocalyptic number.

64076625600 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 64076625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113542639056).

64076625600 is an abundant number, since it is smaller than the sum of its proper divisors (163008652512).

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

64076625600 is a wasteful number, since it uses less digits than its factorization.

64076625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 64076625600 in words is "sixty-four billion, seventy-six million, six hundred twenty-five thousand, six hundred".