74313911652480 has 512 divisors, whose sum is σ = 267022830412800. Its totient is φ = 19529290874880.

The previous prime is 74313911652473. The next prime is 74313911652571. The reversal of 74313911652480 is 8425611931347.

74313911652480 is a `hidden beast` number, since 7 + 4 + 3 + 1 + 39 + 1 + 1 + 6 + 524 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1552808712 + ... + 1552856568.

It is an arithmetic number, because the mean of its divisors is an integer number (521528965650).

It is a 1-persistent number, because it is pandigital, but 2⋅74313911652480 = 148627823304960 is not.

Almost surely, 2^{74313911652480} 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 74313911652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133511415206400).

74313911652480 is an abundant number, since it is smaller than the sum of its proper divisors (192708918760320).

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

74313911652480 is a wasteful number, since it uses less digits than its factorization.

74313911652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49189 (or 49171 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 74313911652480 in words is "seventy-four trillion, three hundred thirteen billion, nine hundred eleven million, six hundred fifty-two thousand, four hundred eighty".