7312908960 has 576 divisors, whose sum is σ = 30095452800. Its totient is φ = 1653571584.

The previous prime is 7312908943. The next prime is 7312908961. The reversal of 7312908960 is 698092137.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7312908961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37890624 + ... + 37890816.

It is an arithmetic number, because the mean of its divisors is an integer number (52249050).

Almost surely, 2^7312908960 is an apocalyptic number.

7312908960 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 7312908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15047726400).

7312908960 is an abundant number, since it is smaller than the sum of its proper divisors (22782543840).

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

7312908960 is a wasteful number, since it uses less digits than its factorization.

7312908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7312908960 is about 85515.5480599873. The cubic root of 7312908960 is about 1941.0202024132.

The spelling of 7312908960 in words is "seven billion, three hundred twelve million, nine hundred eight thousand, nine hundred sixty".