74881918541664 has 960 divisors, whose sum is σ = 260776795023360. Its totient is φ = 20856934010880.

The previous prime is 74881918541609. The next prime is 74881918541669. The reversal of 74881918541664 is 46614581918847.

74881918541664 is a `hidden beast` number, since 7 + 4 + 8 + 8 + 1 + 9 + 18 + 541 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 74881918541592 and 74881918541601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74881918541669) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18215010969 + ... + 18215015079.

It is an arithmetic number, because the mean of its divisors is an integer number (271642494816).

Almost surely, 2^{74881918541664} 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 74881918541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130388397511680).

74881918541664 is an abundant number, since it is smaller than the sum of its proper divisors (185894876481696).

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

74881918541664 is a wasteful number, since it uses less digits than its factorization.

74881918541664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5408 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 74881918541664 in words is "seventy-four trillion, eight hundred eighty-one billion, nine hundred eighteen million, five hundred forty-one thousand, six hundred sixty-four".