64075065600 has 1296 divisors, whose sum is σ = 275070727680. Its totient is φ = 13083033600.

The previous prime is 64075065581. The next prime is 64075065611. The reversal of 64075065600 is 656057046.

64075065600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64075065600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2066937585 + ... + 2066937615.

Almost surely, 2^64075065600 is an apocalyptic number.

64075065600 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 64075065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137535363840).

64075065600 is an abundant number, since it is smaller than the sum of its proper divisors (210995662080).

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

64075065600 is a wasteful number, since it uses less digits than its factorization.

64075065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 64075065600 in words is "sixty-four billion, seventy-five million, sixty-five thousand, six hundred".