75300900040 has 64 divisors (see below), whose sum is σ = 175569508800. Its totient is φ = 29031921408.

The previous prime is 75300900029. The next prime is 75300900097. The reversal of 75300900040 is 4000900357.

It is a junction number, because it is equal to n+sod(n) for n = 75300899981 and 75300900008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625627 + ... + 736213.

It is an arithmetic number, because the mean of its divisors is an integer number (2743273575).

Almost surely, 2^75300900040 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 75300900040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87784754400).

75300900040 is an abundant number, since it is smaller than the sum of its proper divisors (100268608760).

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

75300900040 is a wasteful number, since it uses less digits than its factorization.

75300900040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111214 (or 111210 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 75300900040 in words is "seventy-five billion, three hundred million, nine hundred thousand, forty".