7296022572800 has 864 divisors, whose sum is σ = 20961475254720. Its totient is φ = 2505297100800.

The previous prime is 7296022572799. The next prime is 7296022572809. The reversal of 7296022572800 is 82752206927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7296022572809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31313401484 + ... + 31313401716.

It is an arithmetic number, because the mean of its divisors is an integer number (24260966730).

Almost surely, 2^{7296022572800} 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 7296022572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480737627360).

7296022572800 is an abundant number, since it is smaller than the sum of its proper divisors (13665452681920).

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

7296022572800 is a wasteful number, since it uses less digits than its factorization.

7296022572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 7296022572800 in words is "seven trillion, two hundred ninety-six billion, twenty-two million, five hundred seventy-two thousand, eight hundred".