617012840880 has 400 divisors, whose sum is σ = 2200387853664. Its totient is φ = 160147722240.

The previous prime is 617012840879. The next prime is 617012840903. The reversal of 617012840880 is 88048210716.

617012840880 is a `hidden beast` number, since 617 + 0 + 1 + 28 + 4 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124070074 + ... + 124075046.

Almost surely, 2^617012840880 is an apocalyptic number.

617012840880 is a gapful number since it is divisible by the number (60) 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 617012840880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100193926832).

617012840880 is an abundant number, since it is smaller than the sum of its proper divisors (1583375012784).

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

617012840880 is a wasteful number, since it uses less digits than its factorization.

617012840880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 617012840880 in words is "six hundred seventeen billion, twelve million, eight hundred forty thousand, eight hundred eighty".