64972800 has 288 divisors, whose sum is σ = 243734400. Its totient is φ = 16957440.

The previous prime is 64972783. The next prime is 64972811. The reversal of 64972800 is 827946.

64972800 is a `hidden beast` number, since 649 + 7 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382377 + ... + 1382423.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^64972800 is an apocalyptic number.

64972800 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 64972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

64972800 is an abundant number, since it is smaller than the sum of its proper divisors (178761600).

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

64972800 is a wasteful number, since it uses less digits than its factorization.

64972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 64972800 is about 8060.5706993984. The cubic root of 64972800 is about 402.0164840645.

The spelling of 64972800 in words is "sixty-four million, nine hundred seventy-two thousand, eight hundred".