74942288640 has 432 divisors, whose sum is σ = 284733435168. Its totient is φ = 18807717888.

The previous prime is 74942288633. The next prime is 74942288651. The reversal of 74942288640 is 4688224947.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5280594 + ... + 5294766.

It is an arithmetic number, because the mean of its divisors is an integer number (659105174).

Almost surely, 2^74942288640 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 74942288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142366717584).

74942288640 is an abundant number, since it is smaller than the sum of its proper divisors (209791146528).

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

74942288640 is a wasteful number, since it uses less digits than its factorization.

74942288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14226 (or 14200 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 74942288640 in words is "seventy-four billion, nine hundred forty-two million, two hundred eighty-eight thousand, six hundred forty".