75460639401 has 81 divisors (see below), whose sum is σ = 129053479581. Its totient is φ = 42365487024.

The previous prime is 75460639379. The next prime is 75460639409. The reversal of 75460639401 is 10493606457.

The square root of 75460639401 is 274701.

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

75460639401 is a `hidden beast` number, since 7 + 5 + 4 + 6 + 0 + 639 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 75460639401 - 2⁵ = 75460639369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75460639409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 594178200 + ... + 594178326.

Almost surely, 2^75460639401 is an apocalyptic number.

75460639401 is the 274701-st square number.

75460639401 is the 137351-st centered octagonal number.

It is an amenable number.

75460639401 is a deficient number, since it is larger than the sum of its proper divisors (53592840180).

75460639401 is a wasteful number, since it uses less digits than its factorization.

75460639401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 75460639401 in words is "seventy-five billion, four hundred sixty million, six hundred thirty-nine thousand, four hundred one".