10001600064 has 147 divisors (see below), whose sum is σ = 29821183563. Its totient is φ = 3326666112.

The previous prime is 10001600051. The next prime is 10001600099. The reversal of 10001600064 is 46000610001.

The square root of 10001600064 is 100008.

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

10001600064 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 600 + 0 + 64 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 21601497 + ... + 21601959.

Almost surely, 2^10001600064 is an apocalyptic number.

10001600064 is the 100008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001600064

10001600064 is an abundant number, since it is smaller than the sum of its proper divisors (19819583499).

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

10001600064 is an frugal number, since it uses more digits than its factorization.

10001600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Multiplying 10001600064 by its product of nonzero digits (144), we get a square (1440230409216 = 1200096²).

10001600064 divided by its product of nonzero digits (144) gives a square (69455556 = 8334²).

The spelling of 10001600064 in words is "ten billion, one million, six hundred thousand, sixty-four".