64353542400 has 729 divisors, whose sum is σ = 269426468493. Its totient is φ = 14611968000.

The previous prime is 64353542377. The next prime is 64353542443. The reversal of 64353542400 is 424535346.

The square root of 64353542400 is 253680.

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

64353542400 is a `hidden beast` number, since 6 + 43 + 535 + 42 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23167275264 + 41186267136 = 152208^2 + 202944^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 426182325 + ... + 426182475.

Almost surely, 2^64353542400 is an apocalyptic number.

64353542400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64353542400 is the 253680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64353542400

64353542400 is an abundant number, since it is smaller than the sum of its proper divisors (205072926093).

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

64353542400 is a wasteful number, since it uses less digits than its factorization.

64353542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Multiplying 64353542400 by its sum of digits (36), we get a square (2316727526400 = 1522080²).

64353542400 divided by its sum of digits (36) gives a square (1787598400 = 42280²).

The spelling of 64353542400 in words is "sixty-four billion, three hundred fifty-three million, five hundred forty-two thousand, four hundred".