74456877888 has 112 divisors (see below), whose sum is σ = 220464888000. Its totient is φ = 24640326144.

The previous prime is 74456877871. The next prime is 74456877889. The reversal of 74456877888 is 88877865447.

It is a happy number.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74456877889) 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, 85198 + ... + 395186.

It is an arithmetic number, because the mean of its divisors is an integer number (1968436500).

Almost surely, 2^74456877888 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 74456877888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110232444000).

74456877888 is an abundant number, since it is smaller than the sum of its proper divisors (146008010112).

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

74456877888 is a wasteful number, since it uses less digits than its factorization.

74456877888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310149 (or 310133 counting only the distinct ones).

The product of its digits is 674365440, while the sum is 72.

The spelling of 74456877888 in words is "seventy-four billion, four hundred fifty-six million, eight hundred seventy-seven thousand, eight hundred eighty-eight".