7538164560 has 400 divisors, whose sum is σ = 27301038336. Its totient is φ = 1926153216.

The previous prime is 7538164553. The next prime is 7538164577. The reversal of 7538164560 is 654618357.

7538164560 is a `hidden beast` number, since 7 + 5 + 3 + 81 + 6 + 4 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16141447 + ... + 16141913.

Almost surely, 2^7538164560 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 7538164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650519168).

7538164560 is an abundant number, since it is smaller than the sum of its proper divisors (19762873776).

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

7538164560 is a wasteful number, since it uses less digits than its factorization.

7538164560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 7538164560 is about 86822.6039692429. The cubic root of 7538164560 is about 1960.7484091782.

The spelling of 7538164560 in words is "seven billion, five hundred thirty-eight million, one hundred sixty-four thousand, five hundred sixty".