6617687552 has 240 divisors, whose sum is σ = 16241246208. Its totient is φ = 2682408960.

The previous prime is 6617687513. The next prime is 6617687579. The reversal of 6617687552 is 2557867166.

It is a junction number, because it is equal to n+sod(n) for n = 6617687494 and 6617687503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52107713 + ... + 52107839.

Almost surely, 2^6617687552 is an apocalyptic number.

6617687552 is a gapful number since it is divisible by the number (62) 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 6617687552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8120623104).

6617687552 is an abundant number, since it is smaller than the sum of its proper divisors (9623558656).

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

6617687552 is a wasteful number, since it uses less digits than its factorization.

6617687552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 53.

The square root of 6617687552 is about 81349.1705673758. The cubic root of 6617687552 is about 1877.4516127986.

The spelling of 6617687552 in words is "six billion, six hundred seventeen million, six hundred eighty-seven thousand, five hundred fifty-two".