451272876687360 has 6528 divisors, whose sum is σ = 2154500219289600. Its totient is φ = 89894839910400.

The previous prime is 451272876687349. The next prime is 451272876687389. The reversal of 451272876687360 is 63786678272154.

451272876687360 is a `hidden beast` number, since 4 + 5 + 127 + 2 + 8 + 7 + 66 + 87 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11006655528940 + ... + 11006655528980.

Almost surely, 2^{451272876687360} is an apocalyptic number.

451272876687360 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 451272876687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077250109644800).

451272876687360 is an abundant number, since it is smaller than the sum of its proper divisors (1703227342602240).

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

451272876687360 is an frugal number, since it uses more digits than its factorization.

451272876687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 451272876687360 in words is "four hundred fifty-one trillion, two hundred seventy-two billion, eight hundred seventy-six million, six hundred eighty-seven thousand, three hundred sixty".