75113268624 has 225 divisors, whose sum is σ = 227951379579. Its totient is φ = 23876804160.

The previous prime is 75113268611. The next prime is 75113268683. The reversal of 75113268624 is 42686231157.

The square root of 75113268624 is 274068.

It is a perfect power (a square), and thus also a powerful number.

75113268624 is a `hidden beast` number, since 7 + 5 + 1 + 13 + 2 + 6 + 8 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 75113268624.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 226928139 + ... + 226928469.

Almost surely, 2^75113268624 is an apocalyptic number.

75113268624 is the 274068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75113268624

75113268624 is an abundant number, since it is smaller than the sum of its proper divisors (152838110955).

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

75113268624 is an equidigital number, since it uses as much as digits as its factorization.

75113268624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 359 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 75113268624 in words is "seventy-five billion, one hundred thirteen million, two hundred sixty-eight thousand, six hundred twenty-four".