74921971920 has 640 divisors, whose sum is σ = 268697088000. Its totient is φ = 17167417344.

The previous prime is 74921971919. The next prime is 74921971921. The reversal of 74921971920 is 2917912947.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74921971919) and next prime (74921971921).

It is a super-2 number, since 2×74921971920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74921971921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166863856 + ... + 166864304.

It is an arithmetic number, because the mean of its divisors is an integer number (419839200).

Almost surely, 2^74921971920 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 74921971920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134348544000).

74921971920 is an abundant number, since it is smaller than the sum of its proper divisors (193775116080).

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

74921971920 is a wasteful number, since it uses less digits than its factorization.

74921971920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 74921971920 in words is "seventy-four billion, nine hundred twenty-one million, nine hundred seventy-one thousand, nine hundred twenty".