74435643360000 has 4320 divisors, whose sum is σ = 329958477488640. Its totient is φ = 16554295296000.

The previous prime is 74435643359983. The next prime is 74435643360073. The reversal of 74435643360000 is 6334653447.

74435643360000 is a `hidden beast` number, since 7 + 4 + 4 + 3 + 5 + 6 + 4 + 33 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×74435643360000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 220877279832 + ... + 220877280168.

Almost surely, 2^{74435643360000} 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 74435643360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164979238744320).

74435643360000 is an abundant number, since it is smaller than the sum of its proper divisors (255522834128640).

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

74435643360000 is a wasteful number, since it uses less digits than its factorization.

74435643360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 74435643360000 in words is "seventy-four trillion, four hundred thirty-five billion, six hundred forty-three million, three hundred sixty thousand".