7608944640 has 576 divisors, whose sum is σ = 28233878400. Its totient is φ = 1744568320.

The previous prime is 7608944621. The next prime is 7608944653. The reversal of 7608944640 is 464498067.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7608944640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85493716 + ... + 85493804.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

Almost surely, 2^7608944640 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 7608944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116939200).

7608944640 is an abundant number, since it is smaller than the sum of its proper divisors (20624933760).

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

7608944640 is a wasteful number, since it uses less digits than its factorization.

7608944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 7608944640 is about 87229.2648140519. The cubic root of 7608944640 is about 1966.8661589585.

The spelling of 7608944640 in words is "seven billion, six hundred eight million, nine hundred forty-four thousand, six hundred forty".