73115687040 has 256 divisors, whose sum is σ = 260447322240. Its totient is φ = 17292492800.

The previous prime is 73115687027. The next prime is 73115687089. The reversal of 73115687040 is 4078651137.

It is a junction number, because it is equal to n+sod(n) for n = 73115686983 and 73115687001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823702 + ... + 908138.

Almost surely, 2^73115687040 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 73115687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130223661120).

73115687040 is an abundant number, since it is smaller than the sum of its proper divisors (187331635200).

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

73115687040 is a wasteful number, since it uses less digits than its factorization.

73115687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84511 (or 84499 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 73115687040 in words is "seventy-three billion, one hundred fifteen million, six hundred eighty-seven thousand, forty".