74809100064 has 288 divisors, whose sum is σ = 218262159360. Its totient is φ = 22388534784.

The previous prime is 74809100063. The next prime is 74809100137. The reversal of 74809100064 is 46000190847.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 74809099995 and 74809100031.

It is not an unprimeable number, because it can be changed into a prime (74809100063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101229807 + ... + 101230545.

It is an arithmetic number, because the mean of its divisors is an integer number (757854720).

Almost surely, 2^74809100064 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 74809100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109131079680).

74809100064 is an abundant number, since it is smaller than the sum of its proper divisors (143453059296).

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

74809100064 is a wasteful number, since it uses less digits than its factorization.

74809100064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 74809100064 in words is "seventy-four billion, eight hundred nine million, one hundred thousand, sixty-four".