74136942960 has 160 divisors (see below), whose sum is σ = 232221000000. Its totient is φ = 19564167168.

The previous prime is 74136942949. The next prime is 74136942977. The reversal of 74136942960 is 6924963147.

It is a happy number.

It is a Cunningham number, because it is equal to 272281²-1.

It is a super-3 number, since 3×74136942960³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 32672706 + ... + 32674974.

It is an arithmetic number, because the mean of its divisors is an integer number (1451381250).

Almost surely, 2^74136942960 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 74136942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116110500000).

74136942960 is an abundant number, since it is smaller than the sum of its proper divisors (158084057040).

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

74136942960 is a wasteful number, since it uses less digits than its factorization.

74136942960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 74136942960 in words is "seventy-four billion, one hundred thirty-six million, nine hundred forty-two thousand, nine hundred sixty".