664272271310400 has 315 divisors, whose sum is σ = 2441731881892611. Its totient is φ = 177136798095360.

The previous prime is 664272271310387. The next prime is 664272271310441. The reversal of 664272271310400 is 4013172272466.

The square root of 664272271310400 is 25773480.

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

664272271310400 is a `hidden beast` number, since 6 + 6 + 4 + 2 + 7 + 227 + 1 + 3 + 10 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31711945144896 + 632560326165504 = 5631336^2 + 25150752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9278417004 + ... + 9278488596.

Almost surely, 2^{664272271310400} is an apocalyptic number.

664272271310400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

664272271310400 is the 25773480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664272271310400

664272271310400 is an abundant number, since it is smaller than the sum of its proper divisors (1777459610582211).

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

664272271310400 is an frugal number, since it uses more digits than its factorization.

664272271310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143220 (or 71603 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 664272271310400 in words is "six hundred sixty-four trillion, two hundred seventy-two billion, two hundred seventy-one million, three hundred ten thousand, four hundred".