75495934332 has 720 divisors, whose sum is σ = 264134388672. Its totient is φ = 18296616960.

The previous prime is 75495934277. The next prime is 75495934337. The reversal of 75495934332 is 23343959457.

75495934332 is a `hidden beast` number, since 7 + 5 + 4 + 9 + 593 + 43 + 3 + 2 = 666.

It is a super-2 number, since 2×75495934332² (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).

Its product of digits (12247200) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75495934337) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 436392598 + ... + 436392770.

Almost surely, 2^75495934332 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 75495934332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132067194336).

75495934332 is an abundant number, since it is smaller than the sum of its proper divisors (188638454340).

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

75495934332 is a wasteful number, since it uses less digits than its factorization.

75495934332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 258 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 75495934332 in words is "seventy-five billion, four hundred ninety-five million, nine hundred thirty-four thousand, three hundred thirty-two".