7325216870400 has 2808 divisors, whose sum is σ = 32256368738048. Its totient is φ = 1576599552000.

The previous prime is 7325216870329. The next prime is 7325216870417. The reversal of 7325216870400 is 40786125237.

7325216870400 is a `hidden beast` number, since 7 + 3 + 2 + 521 + 6 + 87 + 0 + 40 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 44939980719 + ... + 44939980881.

Almost surely, 2^{7325216870400} 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 7325216870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128184369024).

7325216870400 is an abundant number, since it is smaller than the sum of its proper divisors (24931151867648).

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

7325216870400 is a wasteful number, since it uses less digits than its factorization.

7325216870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 7325216870400 in words is "seven trillion, three hundred twenty-five billion, two hundred sixteen million, eight hundred seventy thousand, four hundred".