7312416804 has 144 divisors (see below), whose sum is σ = 24058359360. Its totient is φ = 1899313920.

The previous prime is 7312416763. The next prime is 7312416821. The reversal of 7312416804 is 4086142137.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4597 + ... + 121020.

It is an arithmetic number, because the mean of its divisors is an integer number (167071940).

Almost surely, 2^7312416804 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 7312416804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029179680).

7312416804 is an abundant number, since it is smaller than the sum of its proper divisors (16745942556).

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

7312416804 is a wasteful number, since it uses less digits than its factorization.

7312416804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125655 (or 125640 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7312416804 is about 85512.6704295919. The cubic root of 7312416804 is about 1940.9766581285.

The spelling of 7312416804 in words is "seven billion, three hundred twelve million, four hundred sixteen thousand, eight hundred four".