457272287057664 has 648 divisors, whose sum is σ = 1501508610096768. Its totient is φ = 133591229890560.

The previous prime is 457272287057659. The next prime is 457272287057693. The reversal of 457272287057664 is 466750782272754.

457272287057664 is a `hidden beast` number, since 4 + 5 + 7 + 27 + 2 + 28 + 7 + 0 + 576 + 6 + 4 = 666.

It is a super-2 number, since 2×457272287057664² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 457272287057592 and 457272287057601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 639387382 + ... + 640102154.

It is an arithmetic number, because the mean of its divisors is an integer number (2317142916816).

Almost surely, 2^{457272287057664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457272287057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750754305048384).

457272287057664 is an abundant number, since it is smaller than the sum of its proper divisors (1044236323039104).

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

457272287057664 is a wasteful number, since it uses less digits than its factorization.

457272287057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714905 (or 714875 counting only the distinct ones).

The product of its (nonzero) digits is 2212761600, while the sum is 72.

The spelling of 457272287057664 in words is "four hundred fifty-seven trillion, two hundred seventy-two billion, two hundred eighty-seven million, fifty-seven thousand, six hundred sixty-four".