75701896990720 has 3744 divisors, whose sum is σ = 275596299417600. Its totient is φ = 19837904486400.

The previous prime is 75701896990717. The next prime is 75701896990859. The reversal of 75701896990720 is 2709969810757.

It is a super-2 number, since 2×75701896990720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 75701896990720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2441996677105 + ... + 2441996677135.

Almost surely, 2^{75701896990720} is an apocalyptic number.

75701896990720 is a gapful number since it is divisible by the number (70) 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 75701896990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137798149708800).

75701896990720 is an abundant number, since it is smaller than the sum of its proper divisors (199894402426880).

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

75701896990720 is a wasteful number, since it uses less digits than its factorization.

75701896990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 70.

The spelling of 75701896990720 in words is "seventy-five trillion, seven hundred one billion, eight hundred ninety-six million, nine hundred ninety thousand, seven hundred twenty".