74123058240 has 672 divisors, whose sum is σ = 321962434560. Its totient is φ = 15203635200.

The previous prime is 74123058221. The next prime is 74123058281. The reversal of 74123058240 is 4285032147.

It is a happy number.

74123058240 is a `hidden beast` number, since 7 + 4 + 1 + 2 + 30 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74123058195 and 74123058204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17516925 + ... + 17521155.

Almost surely, 2^74123058240 is an apocalyptic number.

74123058240 is a gapful number since it is divisible by the number (70) 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 74123058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160981217280).

74123058240 is an abundant number, since it is smaller than the sum of its proper divisors (247839376320).

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

74123058240 is a wasteful number, since it uses less digits than its factorization.

74123058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 74123058240 in words is "seventy-four billion, one hundred twenty-three million, fifty-eight thousand, two hundred forty".