617980204656 has 160 divisors (see below), whose sum is σ = 1781197067520. Its totient is φ = 205139494656.

The previous prime is 617980204649. The next prime is 617980204657. The reversal of 617980204656 is 656402089716.

617980204656 is a `hidden beast` number, since 6 + 179 + 8 + 0 + 2 + 0 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617980204657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208564231 + ... + 208567193.

It is an arithmetic number, because the mean of its divisors is an integer number (11132481672).

Almost surely, 2^617980204656 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 617980204656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890598533760).

617980204656 is an abundant number, since it is smaller than the sum of its proper divisors (1163216862864).

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

617980204656 is a wasteful number, since it uses less digits than its factorization.

617980204656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 617980204656 in words is "six hundred seventeen billion, nine hundred eighty million, two hundred four thousand, six hundred fifty-six".