6615586897920 has 3264 divisors, whose sum is σ = 32317503289344. Its totient is φ = 1253635522560.

The previous prime is 6615586897903. The next prime is 6615586897949. The reversal of 6615586897920 is 297986855166.

6615586897920 is a `hidden beast` number, since 6 + 6 + 1 + 558 + 68 + 9 + 7 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 79705866199 + ... + 79705866281.

Almost surely, 2^{6615586897920} is an apocalyptic number.

6615586897920 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 6615586897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158751644672).

6615586897920 is an abundant number, since it is smaller than the sum of its proper divisors (25701916391424).

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

6615586897920 is an equidigital number, since it uses as much as digits as its factorization.

6615586897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 6615586897920 in words is "six trillion, six hundred fifteen billion, five hundred eighty-six million, eight hundred ninety-seven thousand, nine hundred twenty".