64857265200 has 1080 divisors, whose sum is σ = 283198519968. Its totient is φ = 13456834560.

The previous prime is 64857265177. The next prime is 64857265201. The reversal of 64857265200 is 256275846.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64857265201) 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 215 ways as a sum of consecutive naturals, for example, 413103522 + ... + 413103678.

Almost surely, 2^64857265200 is an apocalyptic number.

64857265200 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 64857265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141599259984).

64857265200 is an abundant number, since it is smaller than the sum of its proper divisors (218341254768).

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

64857265200 is a wasteful number, since it uses less digits than its factorization.

64857265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 64857265200 in words is "sixty-four billion, eight hundred fifty-seven million, two hundred sixty-five thousand, two hundred".