74165081204920 has 256 divisors, whose sum is σ = 178807552358400. Its totient is φ = 27623873249280.

The previous prime is 74165081204873. The next prime is 74165081204923. The reversal of 74165081204920 is 2940218056147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74165081204923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14925552196 + ... + 14925557164.

It is an arithmetic number, because the mean of its divisors is an integer number (698467001400).

Almost surely, 2^{74165081204920} 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 74165081204920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89403776179200).

74165081204920 is an abundant number, since it is smaller than the sum of its proper divisors (104642471153480).

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

74165081204920 is a wasteful number, since it uses less digits than its factorization.

74165081204920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7910 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 74165081204920 in words is "seventy-four trillion, one hundred sixty-five billion, eighty-one million, two hundred four thousand, nine hundred twenty".