74033703370368 has 384 divisors, whose sum is σ = 246795425510400. Its totient is φ = 20865054228480.

The previous prime is 74033703370351. The next prime is 74033703370409. The reversal of 74033703370368 is 86307330733047.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×74033703370368³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302027505 + ... + 302272527.

It is an arithmetic number, because the mean of its divisors is an integer number (642696420600).

Almost surely, 2^{74033703370368} 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 74033703370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123397712755200).

74033703370368 is an abundant number, since it is smaller than the sum of its proper divisors (172761722140032).

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

74033703370368 is a wasteful number, since it uses less digits than its factorization.

74033703370368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245560 (or 245545 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 54.

The spelling of 74033703370368 in words is "seventy-four trillion, thirty-three billion, seven hundred three million, three hundred seventy thousand, three hundred sixty-eight".