74090468136960 has 768 divisors, whose sum is σ = 293993219520000. Its totient is φ = 17543589396480.

The previous prime is 74090468136889. The next prime is 74090468136967. The reversal of 74090468136960 is 6963186409047.

74090468136960 is a `hidden beast` number, since 7 + 40 + 9 + 0 + 468 + 13 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×74090468136960³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74090468136967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130491766 + ... + 131058314.

It is an arithmetic number, because the mean of its divisors is an integer number (382803671250).

Almost surely, 2^{74090468136960} 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 74090468136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146996609760000).

74090468136960 is an abundant number, since it is smaller than the sum of its proper divisors (219902751383040).

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

74090468136960 is a wasteful number, since it uses less digits than its factorization.

74090468136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566639 (or 566613 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 74090468136960 in words is "seventy-four trillion, ninety billion, four hundred sixty-eight million, one hundred thirty-six thousand, nine hundred sixty".