75347529516864 has 1344 divisors, whose sum is σ = 259319743488000. Its totient is φ = 20668145172480.

The previous prime is 75347529516859. The next prime is 75347529516881. The reversal of 75347529516864 is 46861592574357.

75347529516864 is a `hidden beast` number, since 7 + 5 + 3 + 4 + 7 + 5 + 29 + 516 + 86 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 75347529516792 and 75347529516801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81988606197 + ... + 81988607115.

Almost surely, 2^{75347529516864} is an apocalyptic number.

75347529516864 is a gapful number since it is divisible by the number (74) 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 75347529516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129659871744000).

75347529516864 is an abundant number, since it is smaller than the sum of its proper divisors (183972213971136).

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

75347529516864 is a wasteful number, since it uses less digits than its factorization.

75347529516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1303 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 72.

The spelling of 75347529516864 in words is "seventy-five trillion, three hundred forty-seven billion, five hundred twenty-nine million, five hundred sixteen thousand, eight hundred sixty-four".