7310460672 has 216 divisors, whose sum is σ = 22907189760. Its totient is φ = 2233681920.

The previous prime is 7310460631. The next prime is 7310460719. The reversal of 7310460672 is 2760640137.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354363 + ... + 1359749.

Almost surely, 2^7310460672 is an apocalyptic number.

7310460672 is a gapful number since it is divisible by the number (72) 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 7310460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11453594880).

7310460672 is an abundant number, since it is smaller than the sum of its proper divisors (15596729088).

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

7310460672 is a wasteful number, since it uses less digits than its factorization.

7310460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7310460672 is about 85501.2319911240. The cubic root of 7310460672 is about 1940.8035669210.

The spelling of 7310460672 in words is "seven billion, three hundred ten million, four hundred sixty thousand, six hundred seventy-two".