74199091696128 has 2400 divisors, whose sum is σ = 276408429264000. Its totient is φ = 19782847365120.

The previous prime is 74199091696111. The next prime is 74199091696141. The reversal of 74199091696128 is 82169619099147.

74199091696128 is a `hidden beast` number, since 7 + 419 + 9 + 0 + 91 + 69 + 61 + 2 + 8 = 666.

It is a super-2 number, since 2×74199091696128² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 693449455051 + ... + 693449455157.

It is an arithmetic number, because the mean of its divisors is an integer number (115170178860).

Almost surely, 2^{74199091696128} 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 74199091696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138204214632000).

74199091696128 is an abundant number, since it is smaller than the sum of its proper divisors (202209337567872).

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

74199091696128 is an equidigital number, since it uses as much as digits as its factorization.

74199091696128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 74199091696128 in words is "seventy-four trillion, one hundred ninety-nine billion, ninety-one million, six hundred ninety-six thousand, one hundred twenty-eight".