74629684494144 has 448 divisors, whose sum is σ = 250589691636480. Its totient is φ = 21576189542400.

The previous prime is 74629684494109. The next prime is 74629684494307. The reversal of 74629684494144 is 44149448692647.

74629684494144 is a `hidden beast` number, since 7 + 4 + 6 + 2 + 96 + 8 + 4 + 494 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229352107 + ... + 229677269.

It is an arithmetic number, because the mean of its divisors is an integer number (559351990260).

Almost surely, 2^{74629684494144} 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 74629684494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125294845818240).

74629684494144 is an abundant number, since it is smaller than the sum of its proper divisors (175960007142336).

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

74629684494144 is a wasteful number, since it uses less digits than its factorization.

74629684494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325815 (or 325799 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 74629684494144 in words is "seventy-four trillion, six hundred twenty-nine billion, six hundred eighty-four million, four hundred ninety-four thousand, one hundred forty-four".