75195904896 has 144 divisors (see below), whose sum is σ = 251712246240. Its totient is φ = 21484528128.

The previous prime is 75195904859. The next prime is 75195904909. The reversal of 75195904896 is 69840959157.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×75195904896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent 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, 609616 + ... + 722511.

It is an arithmetic number, because the mean of its divisors is an integer number (1748001710).

Almost surely, 2^75195904896 is an apocalyptic number.

It is an amenable number.

75195904896 is an abundant number, since it is smaller than the sum of its proper divisors (176516341344).

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

75195904896 is a wasteful number, since it uses less digits than its factorization.

75195904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332161 (or 1332139 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 75195904896 in words is "seventy-five billion, one hundred ninety-five million, nine hundred four thousand, eight hundred ninety-six".