7315723968 has 224 divisors, whose sum is σ = 23554944000. Its totient is φ = 1956151296.

The previous prime is 7315723967. The next prime is 7315723969. The reversal of 7315723968 is 8693275137.

It is an interprime number because it is at equal distance from previous prime (7315723967) and next prime (7315723969).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 7315723968.

It is not an unprimeable number, because it can be changed into a prime (7315723967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4545948 + ... + 4547556.

It is an arithmetic number, because the mean of its divisors is an integer number (105156000).

Almost surely, 2^7315723968 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 7315723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11777472000).

7315723968 is an abundant number, since it is smaller than the sum of its proper divisors (16239220032).

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

7315723968 is a wasteful number, since it uses less digits than its factorization.

7315723968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1837 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 7315723968 is about 85532.0055184023. The cubic root of 7315723968 is about 1941.2692271848.

The spelling of 7315723968 in words is "seven billion, three hundred fifteen million, seven hundred twenty-three thousand, nine hundred sixty-eight".