74166104520 has 320 divisors, whose sum is σ = 269096256000. Its totient is φ = 18264863232.

The previous prime is 74166104447. The next prime is 74166104687. The reversal of 74166104520 is 2540166147.

74166104520 is a `hidden beast` number, since 7 + 4 + 16 + 610 + 4 + 5 + 20 = 666.

It is a super-2 number, since 2×74166104520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2143921 + ... + 2178239.

It is an arithmetic number, because the mean of its divisors is an integer number (840925800).

Almost surely, 2^74166104520 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 74166104520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134548128000).

74166104520 is an abundant number, since it is smaller than the sum of its proper divisors (194930151480).

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

74166104520 is a wasteful number, since it uses less digits than its factorization.

74166104520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34394 (or 34381 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 74166104520 in words is "seventy-four billion, one hundred sixty-six million, one hundred four thousand, five hundred twenty".