64864800 has 720 divisors, whose sum is σ = 317604672. Its totient is φ = 12441600.

The previous prime is 64864799. The next prime is 64864817. The reversal of 64864800 is 846846.

64864800 is a `hidden beast` number, since 6 + 4 + 8 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4989594 + ... + 4989606.

Almost surely, 2^64864800 is an apocalyptic number.

64864800 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 64864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158802336).

64864800 is an abundant number, since it is smaller than the sum of its proper divisors (252739872).

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

64864800 is a wasteful number, since it uses less digits than its factorization.

64864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 64864800 is about 8053.8686356310. The cubic root of 64864800 is about 401.7936120352.

It can be divided in two parts, 648 and 64800, that multiplied together give a square (41990400 = 6480²).

The spelling of 64864800 in words is "sixty-four million, eight hundred sixty-four thousand, eight hundred".