74322200788992 has 3072 divisors, whose sum is σ = 277005057638400. Its totient is φ = 19675962408960.

The previous prime is 74322200788967. The next prime is 74322200789027. The reversal of 74322200788992 is 29988700222347.

It is a tau number, because it is divible by the number of its divisors (3072).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1402305675238 + ... + 1402305675290.

It is an arithmetic number, because the mean of its divisors is an integer number (90170917200).

Almost surely, 2^{74322200788992} is an apocalyptic number.

74322200788992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74322200788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138502528819200).

74322200788992 is an abundant number, since it is smaller than the sum of its proper divisors (202682856849408).

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

74322200788992 is a wasteful number, since it uses less digits than its factorization.

74322200788992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 74322200788992 in words is "seventy-four trillion, three hundred twenty-two billion, two hundred million, seven hundred eighty-eight thousand, nine hundred ninety-two".