64452931200 has 672 divisors, whose sum is σ = 272890971360. Its totient is φ = 14728366080.

The previous prime is 64452931189. The next prime is 64452931243. The reversal of 64452931200 is 213925446.

It is a happy number.

64452931200 is a `hidden beast` number, since 6 + 4 + 4 + 529 + 3 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 83 ways as a sum of consecutive naturals, for example, 16327627 + ... + 16331573.

It is an arithmetic number, because the mean of its divisors is an integer number (406087755).

Almost surely, 2^64452931200 is an apocalyptic number.

64452931200 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 64452931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136445485680).

64452931200 is an abundant number, since it is smaller than the sum of its proper divisors (208438040160).

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

64452931200 is an equidigital number, since it uses as much as digits as its factorization.

64452931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 64452931200 in words is "sixty-four billion, four hundred fifty-two million, nine hundred thirty-one thousand, two hundred".