75727632299904 has 576 divisors, whose sum is σ = 243947931102720. Its totient is φ = 22514930380800.

The previous prime is 75727632299833. The next prime is 75727632299911. The reversal of 75727632299904 is 40999223672757.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4122119839 + ... + 4122138209.

It is an arithmetic number, because the mean of its divisors is an integer number (423520713720).

Almost surely, 2^{75727632299904} 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 75727632299904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121973965551360).

75727632299904 is an abundant number, since it is smaller than the sum of its proper divisors (168220298802816).

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

75727632299904 is a wasteful number, since it uses less digits than its factorization.

75727632299904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19131 (or 19103 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 75727632299904 in words is "seventy-five trillion, seven hundred twenty-seven billion, six hundred thirty-two million, two hundred ninety-nine thousand, nine hundred four".