464731272720 has 1200 divisors, whose sum is σ = 1931036405760. Its totient is φ = 102889543680.

The previous prime is 464731272701. The next prime is 464731272737. The reversal of 464731272720 is 27272137464.

464731272720 is a `hidden beast` number, since 4 + 64 + 7 + 312 + 7 + 272 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 1294515901 + ... + 1294516259.

Almost surely, 2^464731272720 is an apocalyptic number.

464731272720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464731272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965518202880).

464731272720 is an abundant number, since it is smaller than the sum of its proper divisors (1466305133040).

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

464731272720 is a wasteful number, since it uses less digits than its factorization.

464731272720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 464731272720 in words is "four hundred sixty-four billion, seven hundred thirty-one million, two hundred seventy-two thousand, seven hundred twenty".