456362968320 has 720 divisors, whose sum is σ = 1930670501760. Its totient is φ = 100709941248.

The previous prime is 456362968277. The next prime is 456362968337. The reversal of 456362968320 is 23869263654.

It is a happy number.

456362968320 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 629 + 6 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21036199 + ... + 21057881.

It is an arithmetic number, because the mean of its divisors is an integer number (2681486808).

Almost surely, 2^456362968320 is an apocalyptic number.

456362968320 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 456362968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965335250880).

456362968320 is an abundant number, since it is smaller than the sum of its proper divisors (1474307533440).

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

456362968320 is a wasteful number, since it uses less digits than its factorization.

456362968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21752 (or 21729 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 456362968320 in words is "four hundred fifty-six billion, three hundred sixty-two million, nine hundred sixty-eight thousand, three hundred twenty".