75866600960 has 80 divisors (see below), whose sum is σ = 182379326976. Its totient is φ = 30267015168.

The previous prime is 75866600863. The next prime is 75866600983. The reversal of 75866600960 is 6900666857.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×75866600960² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941792 + ... + 1019168.

Almost surely, 2^75866600960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75866600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91189663488).

75866600960 is an abundant number, since it is smaller than the sum of its proper divisors (106512726016).

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

75866600960 is an equidigital number, since it uses as much as digits as its factorization.

75866600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77783 (or 77767 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 75866600960 in words is "seventy-five billion, eight hundred sixty-six million, six hundred thousand, nine hundred sixty".