74080347541956 has 576 divisors, whose sum is σ = 245896752471552. Its totient is φ = 19016603394048.

The previous prime is 74080347541819. The next prime is 74080347542017. The reversal of 74080347541956 is 65914574308047.

74080347541956 is a `hidden beast` number, since 7 + 4 + 0 + 8 + 0 + 34 + 7 + 541 + 9 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 74080347541893 and 74080347541902.

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 191 ways as a sum of consecutive naturals, for example, 226661650 + ... + 226988246.

It is an arithmetic number, because the mean of its divisors is an integer number (426904084152).

Almost surely, 2^{74080347541956} 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 74080347541956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122948376235776).

74080347541956 is an abundant number, since it is smaller than the sum of its proper divisors (171816404929596).

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

74080347541956 is a wasteful number, since it uses less digits than its factorization.

74080347541956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326730 (or 326716 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 74080347541956 in words is "seventy-four trillion, eighty billion, three hundred forty-seven million, five hundred forty-one thousand, nine hundred fifty-six".