74745914880 has 960 divisors, whose sum is σ = 311995031040. Its totient is φ = 14906032128.

The previous prime is 74745914821. The next prime is 74745914911. The reversal of 74745914880 is 8841954747.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 74745914880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172623144 + ... + 172623576.

It is an arithmetic number, because the mean of its divisors is an integer number (324994824).

Almost surely, 2^74745914880 is an apocalyptic number.

74745914880 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 74745914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155997515520).

74745914880 is an abundant number, since it is smaller than the sum of its proper divisors (237249116160).

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

74745914880 is a wasteful number, since it uses less digits than its factorization.

74745914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 74745914880 in words is "seventy-four billion, seven hundred forty-five million, nine hundred fourteen thousand, eight hundred eighty".