64536321600 has 567 divisors, whose sum is σ = 240858451353. Its totient is φ = 16388628480.

The previous prime is 64536321583. The next prime is 64536321613. The reversal of 64536321600 is 612363546.

The square root of 64536321600 is 254040.

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

64536321600 is a `hidden beast` number, since 6 + 4 + 5 + 3 + 632 + 16 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 35467435584 + 29068886016 = 188328^2 + 170496^2 .

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, 884059164 + ... + 884059236.

Almost surely, 2^64536321600 is an apocalyptic number.

64536321600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64536321600 is the 254040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64536321600

64536321600 is an abundant number, since it is smaller than the sum of its proper divisors (176322129753).

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

64536321600 is a wasteful number, since it uses less digits than its factorization.

64536321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 64536321600 by its sum of digits (36), we get a square (2323307577600 = 1524240²).

64536321600 divided by its sum of digits (36) gives a square (1792675600 = 42340²).

The spelling of 64536321600 in words is "sixty-four billion, five hundred thirty-six million, three hundred twenty-one thousand, six hundred".