7642158624 has 96 divisors (see below), whose sum is σ = 22321656000. Its totient is φ = 2543726592.

The previous prime is 7642158613. The next prime is 7642158647. The reversal of 7642158624 is 4268512467.

7642158624 is a `hidden beast` number, since 7 + 6 + 4 + 2 + 15 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 7642158624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632512 + ... + 644480.

It is an arithmetic number, because the mean of its divisors is an integer number (232517250).

Almost surely, 2^7642158624 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 7642158624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160828000).

7642158624 is an abundant number, since it is smaller than the sum of its proper divisors (14679497376).

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

7642158624 is a wasteful number, since it uses less digits than its factorization.

7642158624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12727 (or 12713 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 7642158624 is about 87419.4407669141. The cubic root of 7642158624 is about 1969.7238761986.

The spelling of 7642158624 in words is "seven billion, six hundred forty-two million, one hundred fifty-eight thousand, six hundred twenty-four".