75349364832 has 240 divisors, whose sum is σ = 261429138432. Its totient is φ = 20833770240.

The previous prime is 75349364819. The next prime is 75349364899. The reversal of 75349364832 is 23846394357.

75349364832 is a `hidden beast` number, since 7 + 534 + 9 + 36 + 48 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 495483 + ... + 629445.

Almost surely, 2^75349364832 is an apocalyptic number.

75349364832 is a gapful number since it is divisible by the number (72) 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 75349364832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130714569216).

75349364832 is an abundant number, since it is smaller than the sum of its proper divisors (186079773600).

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

75349364832 is a wasteful number, since it uses less digits than its factorization.

75349364832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134023 (or 134006 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 75349364832 in words is "seventy-five billion, three hundred forty-nine million, three hundred sixty-four thousand, eight hundred thirty-two".