4957658700624 has 480 divisors, whose sum is σ = 18182514816000. Its totient is φ = 1283575797504.

The previous prime is 4957658700583. The next prime is 4957658700637. The reversal of 4957658700624 is 4260078567594.

4957658700624 is a `hidden beast` number, since 4 + 9 + 576 + 58 + 7 + 0 + 0 + 6 + 2 + 4 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8982447 + ... + 9518385.

It is an arithmetic number, because the mean of its divisors is an integer number (37880239200).

Almost surely, 2^{4957658700624} 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 4957658700624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9091257408000).

4957658700624 is an abundant number, since it is smaller than the sum of its proper divisors (13224856115376).

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

4957658700624 is a wasteful number, since it uses less digits than its factorization.

4957658700624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536012 (or 535993 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 4957658700624 in words is "four trillion, nine hundred fifty-seven billion, six hundred fifty-eight million, seven hundred thousand, six hundred twenty-four".