75642411825 has 18 divisors (see below), whose sum is σ = 135483964694. Its totient is φ = 40342619520.

The previous prime is 75642411809. The next prime is 75642411839. The reversal of 75642411825 is 52811424657.

75642411825 is a `hidden beast` number, since 7 + 564 + 2 + 4 + 1 + 1 + 82 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15926692401 + 59715719424 = 126201^2 + 244368^2 .

It is not a de Polignac number, because 75642411825 - 2⁴ = 75642411809 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 168094024 + ... + 168094473.

Almost surely, 2^75642411825 is an apocalyptic number.

75642411825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75642411825 is a deficient number, since it is larger than the sum of its proper divisors (59841552869).

75642411825 is a wasteful number, since it uses less digits than its factorization.

75642411825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336188513 (or 336188505 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 75642411825 in words is "seventy-five billion, six hundred forty-two million, four hundred eleven thousand, eight hundred twenty-five".