6615797760 has 624 divisors, whose sum is σ = 27048385728. Its totient is φ = 1474560000.

The previous prime is 6615797731. The next prime is 6615797801. The reversal of 6615797760 is 677975166.

It is a happy number.

6615797760 is a `hidden beast` number, since 6 + 6 + 1 + 579 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 6615797697 and 6615797706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26357635 + ... + 26357885.

It is an arithmetic number, because the mean of its divisors is an integer number (43346772).

Almost surely, 2^6615797760 is an apocalyptic number.

6615797760 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 6615797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524192864).

6615797760 is an abundant number, since it is smaller than the sum of its proper divisors (20432587968).

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

6615797760 is a wasteful number, since it uses less digits than its factorization.

6615797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 6615797760 is about 81337.5544259846. The cubic root of 6615797760 is about 1877.2728831545.

The spelling of 6615797760 in words is "six billion, six hundred fifteen million, seven hundred ninety-seven thousand, seven hundred sixty".