7566874022400 has 1440 divisors, whose sum is σ = 32214546422784. Its totient is φ = 1521045504000.

The previous prime is 7566874022363. The next prime is 7566874022423. The reversal of 7566874022400 is 42204786657.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2841483469 + ... + 2841486131.

Almost surely, 2^{7566874022400} is an apocalyptic number.

7566874022400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7566874022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107273211392).

7566874022400 is an abundant number, since it is smaller than the sum of its proper divisors (24647672400384).

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

7566874022400 is a wasteful number, since it uses less digits than its factorization.

7566874022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 7566874022400 in words is "seven trillion, five hundred sixty-six billion, eight hundred seventy-four million, twenty-two thousand, four hundred".