74001950568 has 224 divisors, whose sum is σ = 256045305600. Its totient is φ = 19516857984.

The previous prime is 74001950549. The next prime is 74001950569. The reversal of 74001950568 is 86505910047.

74001950568 is a `hidden beast` number, since 7 + 400 + 195 + 0 + 56 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (74001950569) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 460993 + ... + 600431.

It is an arithmetic number, because the mean of its divisors is an integer number (1143059400).

Almost surely, 2^74001950568 is an apocalyptic number.

74001950568 is a gapful number since it is divisible by the number (78) 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 74001950568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128022652800).

74001950568 is an abundant number, since it is smaller than the sum of its proper divisors (182043355032).

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

74001950568 is a wasteful number, since it uses less digits than its factorization.

74001950568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139483 (or 139464 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 74001950568 in words is "seventy-four billion, one million, nine hundred fifty thousand, five hundred sixty-eight".