75714478336000 has 384 divisors, whose sum is σ = 227292973689600. Its totient is φ = 24592962355200.

The previous prime is 75714478335973. The next prime is 75714478336073. The reversal of 75714478336000 is 63387441757.

It is a super-2 number, since 2×75714478336000² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 32936122 + ... + 35159878.

It is an arithmetic number, because the mean of its divisors is an integer number (591908785650).

Almost surely, 2^{75714478336000} is an apocalyptic number.

75714478336000 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 75714478336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113646486844800).

75714478336000 is an abundant number, since it is smaller than the sum of its proper divisors (151578495353600).

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

75714478336000 is a wasteful number, since it uses less digits than its factorization.

75714478336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223820 (or 2223790 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 55.

The spelling of 75714478336000 in words is "seventy-five trillion, seven hundred fourteen billion, four hundred seventy-eight million, three hundred thirty-six thousand".