75216936960 has 784 divisors, whose sum is σ = 296533610640. Its totient is φ = 18154782720.

The previous prime is 75216936953. The next prime is 75216936973. The reversal of 75216936960 is 6963961257.

75216936960 is a `hidden beast` number, since 7 + 5 + 216 + 9 + 369 + 60 = 666.

It is a super-2 number, since 2×75216936960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 75216936897 and 75216936906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 328458126 + ... + 328458354.

Almost surely, 2^75216936960 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 75216936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148266805320).

75216936960 is an abundant number, since it is smaller than the sum of its proper divisors (221316673680).

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

75216936960 is an equidigital number, since it uses as much as digits as its factorization.

75216936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 75216936960 in words is "seventy-five billion, two hundred sixteen million, nine hundred thirty-six thousand, nine hundred sixty".