75349934428356 has 729 divisors, whose sum is σ = 234967842973773. Its totient is φ = 20299715735040.

The previous prime is 75349934428343. The next prime is 75349934428369. The reversal of 75349934428356 is 65382443994357.

It is a happy number.

The square root of 75349934428356 is 8680434.

It is a perfect power (a square), and thus also a powerful number.

75349934428356 is a `hidden beast` number, since 7 + 5 + 3 + 49 + 93 + 442 + 8 + 3 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (75349934428343) and next prime (75349934428369).

It can be written as a sum of positive squares in only one way, i.e., 1327726152900 + 74022208275456 = 1152270^2 + 8603616^2 .

It is a super-2 number, since 2×75349934428356² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 666813578956 + ... + 666813579068.

Almost surely, 2^{75349934428356} is an apocalyptic number.

75349934428356 is the 8680434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75349934428356

75349934428356 is an abundant number, since it is smaller than the sum of its proper divisors (159617908545417).

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

75349934428356 is a wasteful number, since it uses less digits than its factorization.

75349934428356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 72.

The spelling of 75349934428356 in words is "seventy-five trillion, three hundred forty-nine billion, nine hundred thirty-four million, four hundred twenty-eight thousand, three hundred fifty-six".