6617890560 has 144 divisors (see below), whose sum is σ = 22379396256. Its totient is φ = 1660944384.

The previous prime is 6617890553. The next prime is 6617890621. The reversal of 6617890560 is 650987166.

It is a super-2 number, since 2×6617890560² = 87592950928274227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 14592 + ... + 115968.

It is an arithmetic number, because the mean of its divisors is an integer number (155412474).

Almost surely, 2^6617890560 is an apocalyptic number.

6617890560 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 6617890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11189698128).

6617890560 is an abundant number, since it is smaller than the sum of its proper divisors (15761505696).

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

6617890560 is a wasteful number, since it uses less digits than its factorization.

6617890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101418 (or 101404 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 6617890560 is about 81350.4183148433. The cubic root of 6617890560 is about 1877.4708105318.

The spelling of 6617890560 in words is "six billion, six hundred seventeen million, eight hundred ninety thousand, five hundred sixty".