456672612960 has 384 divisors, whose sum is σ = 1695012480000. Its totient is φ = 114437283840.

The previous prime is 456672612937. The next prime is 456672612997. The reversal of 456672612960 is 69216276654.

456672612960 is a `hidden beast` number, since 4 + 566 + 7 + 2 + 6 + 12 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 456672612897 and 456672612906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50742541 + ... + 50751539.

It is an arithmetic number, because the mean of its divisors is an integer number (4414095000).

Almost surely, 2^456672612960 is an apocalyptic number.

456672612960 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 456672612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847506240000).

456672612960 is an abundant number, since it is smaller than the sum of its proper divisors (1238339867040).

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

456672612960 is a wasteful number, since it uses less digits than its factorization.

456672612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9731 (or 9717 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 456672612960 in words is "four hundred fifty-six billion, six hundred seventy-two million, six hundred twelve thousand, nine hundred sixty".