7315086672 has 300 divisors, whose sum is σ = 23409165780. Its totient is φ = 2195085312.

The previous prime is 7315086661. The next prime is 7315086707. The reversal of 7315086672 is 2766805137.

7315086672 is a `hidden beast` number, since 73 + 1 + 508 + 6 + 6 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4807480896 + 2507605776 = 69336^2 + 50076^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68365243 + ... + 68365349.

Almost surely, 2^7315086672 is an apocalyptic number.

7315086672 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 7315086672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704582890).

7315086672 is an abundant number, since it is smaller than the sum of its proper divisors (16094079108).

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

7315086672 is a wasteful number, since it uses less digits than its factorization.

7315086672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7315086672 is about 85528.2799546442. The cubic root of 7315086672 is about 1941.2128555008.

The spelling of 7315086672 in words is "seven billion, three hundred fifteen million, eighty-six thousand, six hundred seventy-two".