456727063320 has 384 divisors, whose sum is σ = 1737197280000. Its totient is φ = 106902996480.

The previous prime is 456727063301. The next prime is 456727063343. The reversal of 456727063320 is 23360727654.

456727063320 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 2 + 7 + 0 + 633 + 2 + 0 = 666.

It is a super-2 number, since 2×456727063320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3027031 + ... + 3174329.

It is an arithmetic number, because the mean of its divisors is an integer number (4523951250).

Almost surely, 2^456727063320 is an apocalyptic number.

456727063320 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 456727063320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868598640000).

456727063320 is an abundant number, since it is smaller than the sum of its proper divisors (1280470216680).

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

456727063320 is a wasteful number, since it uses less digits than its factorization.

456727063320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147365 (or 147349 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 456727063320 in words is "four hundred fifty-six billion, seven hundred twenty-seven million, sixty-three thousand, three hundred twenty".