80417240640 has 1120 divisors, whose sum is σ = 338406418944. Its totient is φ = 17907056640.

The previous prime is 80417240639. The next prime is 80417240689. The reversal of 80417240640 is 4604271408.

80417240640 is a `hidden beast` number, since 8 + 0 + 4 + 1 + 7 + 2 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80417240595 and 80417240604.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 227810704 + ... + 227811056.

Almost surely, 2^80417240640 is an apocalyptic number.

80417240640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80417240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169203209472).

80417240640 is an abundant number, since it is smaller than the sum of its proper divisors (257989178304).

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

80417240640 is a wasteful number, since it uses less digits than its factorization.

80417240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 80417240640 in words is "eighty billion, four hundred seventeen million, two hundred forty thousand, six hundred forty".