7389607680 has 1296 divisors, whose sum is σ = 34351218720. Its totient is φ = 1449197568.

The previous prime is 7389607669. The next prime is 7389607691. The reversal of 7389607680 is 867069837.

It is an interprime number because it is at equal distance from previous prime (7389607669) and next prime (7389607691).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139426534 + ... + 139426586.

It is an arithmetic number, because the mean of its divisors is an integer number (26505570).

Almost surely, 2^7389607680 is an apocalyptic number.

7389607680 is a gapful number since it is divisible by the number (70) 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 7389607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175609360).

7389607680 is an abundant number, since it is smaller than the sum of its proper divisors (26961611040).

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

7389607680 is a wasteful number, since it uses less digits than its factorization.

7389607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7389607680 is about 85962.8273150668. The cubic root of 7389607680 is about 1947.7825049126.

The spelling of 7389607680 in words is "seven billion, three hundred eighty-nine million, six hundred seven thousand, six hundred eighty".