5627932564320 has 576 divisors, whose sum is σ = 21103486709760. Its totient is φ = 1354464460800.

The previous prime is 5627932564279. The next prime is 5627932564333. The reversal of 5627932564320 is 234652397265.

5627932564320 is a `hidden beast` number, since 5 + 6 + 2 + 79 + 3 + 2 + 564 + 3 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1775931696 + ... + 1775934864.

It is an arithmetic number, because the mean of its divisors is an integer number (36637997760).

Almost surely, 2^{5627932564320} 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 5627932564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10551743354880).

5627932564320 is an abundant number, since it is smaller than the sum of its proper divisors (15475554145440).

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

5627932564320 is a wasteful number, since it uses less digits than its factorization.

5627932564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 5627932564320 in words is "five trillion, six hundred twenty-seven billion, nine hundred thirty-two million, five hundred sixty-four thousand, three hundred twenty".