457719502968 has 256 divisors, whose sum is σ = 1569810816000. Its totient is φ = 120334781952.

The previous prime is 457719502937. The next prime is 457719503027. The reversal of 457719502968 is 869205917754.

457719502968 is a `hidden beast` number, since 4 + 57 + 7 + 19 + 502 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6194223 + ... + 6267681.

It is an arithmetic number, because the mean of its divisors is an integer number (6132073500).

Almost surely, 2^457719502968 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 457719502968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784905408000).

457719502968 is an abundant number, since it is smaller than the sum of its proper divisors (1112091313032).

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

457719502968 is a wasteful number, since it uses less digits than its factorization.

457719502968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73811 (or 73801 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 457719502968 in words is "four hundred fifty-seven billion, seven hundred nineteen million, five hundred two thousand, nine hundred sixty-eight".