74077161984 has 720 divisors, whose sum is σ = 267437570400. Its totient is φ = 20386308096.

The previous prime is 74077161923. The next prime is 74077162031. The reversal of 74077161984 is 48916177047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 74077161984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 176794927 + ... + 176795345.

It is an arithmetic number, because the mean of its divisors is an integer number (371441070).

Almost surely, 2^74077161984 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 74077161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133718785200).

74077161984 is an abundant number, since it is smaller than the sum of its proper divisors (193360408416).

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

74077161984 is an equidigital number, since it uses as much as digits as its factorization.

74077161984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 74077161984 in words is "seventy-four billion, seventy-seven million, one hundred sixty-one thousand, nine hundred eighty-four".