74882955840 has 448 divisors, whose sum is σ = 301297287168. Its totient is φ = 15304089600.

The previous prime is 74882955817. The next prime is 74882955853. The reversal of 74882955840 is 4855928847.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4500817 + ... + 4517423.

Almost surely, 2^74882955840 is an apocalyptic number.

74882955840 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 74882955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150648643584).

74882955840 is an abundant number, since it is smaller than the sum of its proper divisors (226414331328).

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

74882955840 is a wasteful number, since it uses less digits than its factorization.

74882955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16706 (or 16696 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 74882955840 in words is "seventy-four billion, eight hundred eighty-two million, nine hundred fifty-five thousand, eight hundred forty".