4934058624 has 672 divisors, whose sum is σ = 17793165600. Its totient is φ = 1354890240.

The previous prime is 4934058589. The next prime is 4934058641. The reversal of 4934058624 is 4268504394.

4934058624 is a `hidden beast` number, since 4 + 9 + 3 + 40 + 586 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4934058624.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 214524277 + ... + 214524299.

It is an arithmetic number, because the mean of its divisors is an integer number (26477925).

Almost surely, 2^4934058624 is an apocalyptic number.

4934058624 is a gapful number since it is divisible by the number (44) 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 4934058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896582800).

4934058624 is an abundant number, since it is smaller than the sum of its proper divisors (12859106976).

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

4934058624 is a wasteful number, since it uses less digits than its factorization.

4934058624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4934058624 is about 70242.8546116970. The cubic root of 4934058624 is about 1702.4254449294.

The spelling of 4934058624 in words is "four billion, nine hundred thirty-four million, fifty-eight thousand, six hundred twenty-four".