6615658000368 has 400 divisors, whose sum is σ = 19784502460800. Its totient is φ = 2133157897728.

The previous prime is 6615658000339. The next prime is 6615658000381. The reversal of 6615658000368 is 8630008565166.

6615658000368 is a `hidden beast` number, since 6 + 6 + 1 + 56 + 580 + 0 + 0 + 3 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3893853183 + ... + 3893854881.

It is an arithmetic number, because the mean of its divisors is an integer number (49461256152).

Almost surely, 2^{6615658000368} 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 6615658000368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9892251230400).

6615658000368 is an abundant number, since it is smaller than the sum of its proper divisors (13168844460432).

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

6615658000368 is a wasteful number, since it uses less digits than its factorization.

6615658000368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 6615658000368 in words is "six trillion, six hundred fifteen billion, six hundred fifty-eight million, three hundred sixty-eight", and thus it is an aban number.