64933232400 has 405 divisors, whose sum is σ = 234551714943. Its totient is φ = 16634649600.

The previous prime is 64933232347. The next prime is 64933232443. The reversal of 64933232400 is 423233946.

The square root of 64933232400 is 254820.

It is a perfect power (a square), and thus also a powerful number.

64933232400 is a `hidden beast` number, since 6 + 4 + 93 + 323 + 240 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 189447696 + 64743784704 = 13764^2 + 254448^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 473965132 + ... + 473965268.

Almost surely, 2^64933232400 is an apocalyptic number.

64933232400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64933232400 is the 254820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64933232400

64933232400 is an abundant number, since it is smaller than the sum of its proper divisors (169618482543).

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

64933232400 is a wasteful number, since it uses less digits than its factorization.

64933232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Multiplying 64933232400 by its sum of digits (36), we get a square (2337596366400 = 1528920²).

64933232400 divided by its sum of digits (36) gives a square (1803700900 = 42470²).

The spelling of 64933232400 in words is "sixty-four billion, nine hundred thirty-three million, two hundred thirty-two thousand, four hundred".