7315948800000 has 864 divisors, whose sum is σ = 26611637761800. Its totient is φ = 1936097280000.

The previous prime is 7315948799989. The next prime is 7315948800031. The reversal of 7315948800000 is 88495137.

It can be written as a sum of positive squares in 12 ways, for example, as 2595862324224 + 4720086475776 = 1611168^2 + 2172576^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9043199596 + ... + 9043200404.

Almost surely, 2^{7315948800000} 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 7315948800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305818880900).

7315948800000 is an abundant number, since it is smaller than the sum of its proper divisors (19295688961800).

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

7315948800000 is an equidigital number, since it uses as much as digits as its factorization.

7315948800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 7315948800000 in words is "seven trillion, three hundred fifteen billion, nine hundred forty-eight million, eight hundred thousand".