75829960656 has 60 divisors (see below), whose sum is σ = 213445337508. Its totient is φ = 25130537472.

The previous prime is 75829960643. The next prime is 75829960669. The reversal of 75829960656 is 65606992857.

It is an interprime number because it is at equal distance from previous prime (75829960643) and next prime (75829960669).

It can be written as a sum of positive squares in 2 ways, for example, as 49721864256 + 26108096400 = 222984^2 + 161580^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75829960593 and 75829960602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1497045 + ... + 1546868.

Almost surely, 2^75829960656 is an apocalyptic number.

It is an amenable number.

75829960656 is an abundant number, since it is smaller than the sum of its proper divisors (137615376852).

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

75829960656 is a wasteful number, since it uses less digits than its factorization.

75829960656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044100 (or 3044091 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 75829960656 in words is "seventy-five billion, eight hundred twenty-nine million, nine hundred sixty thousand, six hundred fifty-six".