74177384352 has 96 divisors (see below), whose sum is σ = 195538541184. Its totient is φ = 24621542400.

The previous prime is 74177384339. The next prime is 74177384353. The reversal of 74177384352 is 25348377147.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 74177384295 and 74177384304.

It is not an unprimeable number, because it can be changed into a prime (74177384353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27360277 + ... + 27362987.

It is an arithmetic number, because the mean of its divisors is an integer number (2036859804).

Almost surely, 2^74177384352 is an apocalyptic number.

It is an amenable number.

74177384352 is an abundant number, since it is smaller than the sum of its proper divisors (121361156832).

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

74177384352 is a wasteful number, since it uses less digits than its factorization.

74177384352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3814 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 51.

The spelling of 74177384352 in words is "seventy-four billion, one hundred seventy-seven million, three hundred eighty-four thousand, three hundred fifty-two".