75556815376 has 45 divisors (see below), whose sum is σ = 170309303469. Its totient is φ = 32378193792.

The previous prime is 75556815359. The next prime is 75556815407. The reversal of 75556815376 is 67351865557.

The square root of 75556815376 is 274876.

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

It can be written as a sum of positive squares in only one way, i.e., 75065040400 + 491774976 = 273980^2 + 22176^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75556815376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7691620 + ... + 7701436.

Almost surely, 2^75556815376 is an apocalyptic number.

75556815376 is the 274876-th square number.

It is an amenable number.

75556815376 is an abundant number, since it is smaller than the sum of its proper divisors (94752488093).

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

75556815376 is an frugal number, since it uses more digits than its factorization.

75556815376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19656 (or 9826 counting only the distinct ones).

The product of its digits is 26460000, while the sum is 58.

The spelling of 75556815376 in words is "seventy-five billion, five hundred fifty-six million, eight hundred fifteen thousand, three hundred seventy-six".