74565055544400 has 1080 divisors, whose sum is σ = 282321916740864. Its totient is φ = 18203006361600.

The previous prime is 74565055544383. The next prime is 74565055544411. The reversal of 74565055544400 is 444555056547.

74565055544400 is a `hidden beast` number, since 7 + 4 + 5 + 6 + 5 + 0 + 55 + 544 + 40 + 0 = 666.

It is a super-3 number, since 3×74565055544400³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 52253016487 + ... + 52253017913.

Almost surely, 2^{74565055544400} 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 74565055544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141160958370432).

74565055544400 is an abundant number, since it is smaller than the sum of its proper divisors (207756861196464).

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

74565055544400 is a wasteful number, since it uses less digits than its factorization.

74565055544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 33600000, while the sum is 54.

The spelling of 74565055544400 in words is "seventy-four trillion, five hundred sixty-five billion, fifty-five million, five hundred forty-four thousand, four hundred".