74381698944000 has 792 divisors, whose sum is σ = 311801724812448. Its totient is φ = 17001518284800.

The previous prime is 74381698943977. The next prime is 74381698944011. The reversal of 74381698944000 is 44989618347.

74381698944000 is a `hidden beast` number, since 7 + 4 + 3 + 81 + 69 + 8 + 94 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55789149 + ... + 57106851.

Almost surely, 2^{74381698944000} is an apocalyptic number.

74381698944000 is a gapful number since it is divisible by the number (70) 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 74381698944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155900862406224).

74381698944000 is an abundant number, since it is smaller than the sum of its proper divisors (237420025868448).

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

74381698944000 is a wasteful number, since it uses less digits than its factorization.

74381698944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317758 (or 1317720 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 74381698944000 in words is "seventy-four trillion, three hundred eighty-one billion, six hundred ninety-eight million, nine hundred forty-four thousand".