64469176732900 has 243 divisors, whose sum is σ = 150908394694449. Its totient is φ = 23901273999360.

The previous prime is 64469176732871. The next prime is 64469176732901. The reversal of 64469176732900 is 923767196446.

The square root of 64469176732900 is 8029270.

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

It can be written as a sum of positive squares in 13 ways, for example, as 18422963671204 + 46046213061696 = 4292198^2 + 6785736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64469176732901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 99643240377 + ... + 99643241023.

Almost surely, 2^{64469176732900} is an apocalyptic number.

64469176732900 is the 8029270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64469176732900

64469176732900 is an abundant number, since it is smaller than the sum of its proper divisors (86439217961549).

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

64469176732900 is an equidigital number, since it uses as much as digits as its factorization.

64469176732900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 64.

The spelling of 64469176732900 in words is "sixty-four trillion, four hundred sixty-nine billion, one hundred seventy-six million, seven hundred thirty-two thousand, nine hundred".