64864800000 has 2160 divisors, whose sum is σ = 324591974784. Its totient is φ = 12441600000.

The previous prime is 64864799999. The next prime is 64864800113. The reversal of 64864800000 is 846846.

64864800000 is a `hidden beast` number, since 6 + 4 + 8 + 648 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4989599994 + ... + 4989600006.

Almost surely, 2^64864800000 is an apocalyptic number.

64864800000 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 64864800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162295987392).

64864800000 is an abundant number, since it is smaller than the sum of its proper divisors (259727174784).

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

64864800000 is an equidigital number, since it uses as much as digits as its factorization.

64864800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

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

The spelling of 64864800000 in words is "sixty-four billion, eight hundred sixty-four million, eight hundred thousand".