5517626768 has 80 divisors (see below), whose sum is σ = 11656396800. Its totient is φ = 2522150400.

The previous prime is 5517626759. The next prime is 5517626789. The reversal of 5517626768 is 8676267155.

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, 1075313 + ... + 1080431.

It is an arithmetic number, because the mean of its divisors is an integer number (145704960).

Almost surely, 2^5517626768 is an apocalyptic number.

5517626768 is a gapful number since it is divisible by the number (58) 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 5517626768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828198400).

5517626768 is an abundant number, since it is smaller than the sum of its proper divisors (6138770032).

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

5517626768 is a wasteful number, since it uses less digits than its factorization.

5517626768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5274 counting only the distinct ones).

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

The square root of 5517626768 is about 74280.7294525303. The cubic root of 5517626768 is about 1767.0578728454.

The spelling of 5517626768 in words is "five billion, five hundred seventeen million, six hundred twenty-six thousand, seven hundred sixty-eight".