75665922696 has 576 divisors, whose sum is σ = 279052300800. Its totient is φ = 18289152000.

The previous prime is 75665922679. The next prime is 75665922713. The reversal of 75665922696 is 69622956657.

75665922696 is a `hidden beast` number, since 7 + 566 + 5 + 9 + 2 + 2 + 69 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (75665922679) and next prime (75665922713).

It is a super-3 number, since 3×75665922696³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27012496 + ... + 27015296.

It is an arithmetic number, because the mean of its divisors is an integer number (484465800).

Almost surely, 2^75665922696 is an apocalyptic number.

75665922696 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75665922696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139526150400).

75665922696 is an abundant number, since it is smaller than the sum of its proper divisors (203386378104).

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

75665922696 is a wasteful number, since it uses less digits than its factorization.

75665922696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2876 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 75665922696 in words is "seventy-five billion, six hundred sixty-five million, nine hundred twenty-two thousand, six hundred ninety-six".