74742969139200 has 1584 divisors, whose sum is σ = 286242859034496. Its totient is φ = 18602577100800.

The previous prime is 74742969139159. The next prime is 74742969139207. The reversal of 74742969139200 is 293196924747.

74742969139200 is a `hidden beast` number, since 7 + 4 + 7 + 4 + 296 + 9 + 139 + 200 = 666.

It is a super-2 number, since 2×74742969139200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74742969139207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 770546073552 + ... + 770546073648.

Almost surely, 2^{74742969139200} 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 74742969139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143121429517248).

74742969139200 is an abundant number, since it is smaller than the sum of its proper divisors (211499889895296).

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

74742969139200 is an frugal number, since it uses more digits than its factorization.

74742969139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 74742969139200 in words is "seventy-four trillion, seven hundred forty-two billion, nine hundred sixty-nine million, one hundred thirty-nine thousand, two hundred".