74127168900 has 288 divisors, whose sum is σ = 252827568000. Its totient is φ = 18567290880.

The previous prime is 74127168833. The next prime is 74127168911. The reversal of 74127168900 is 986172147.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 28410796 + ... + 28413404.

It is an arithmetic number, because the mean of its divisors is an integer number (877873500).

Almost surely, 2^74127168900 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 74127168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126413784000).

74127168900 is an abundant number, since it is smaller than the sum of its proper divisors (178700399100).

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

74127168900 is a wasteful number, since it uses less digits than its factorization.

74127168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 74127168900 in words is "seventy-four billion, one hundred twenty-seven million, one hundred sixty-eight thousand, nine hundred".