451991065680 has 640 divisors, whose sum is σ = 1973959372800. Its totient is φ = 92326348800.

The previous prime is 451991065679. The next prime is 451991065697. The reversal of 451991065680 is 86560199154.

451991065680 is a `hidden beast` number, since 4 + 519 + 9 + 1 + 0 + 65 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9789850 + ... + 9835910.

It is an arithmetic number, because the mean of its divisors is an integer number (3084311520).

Almost surely, 2^451991065680 is an apocalyptic number.

451991065680 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 451991065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986979686400).

451991065680 is an abundant number, since it is smaller than the sum of its proper divisors (1521968307120).

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

451991065680 is a wasteful number, since it uses less digits than its factorization.

451991065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46160 (or 46148 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 451991065680 in words is "four hundred fifty-one billion, nine hundred ninety-one million, sixty-five thousand, six hundred eighty".