6658086970080 has 1296 divisors, whose sum is σ = 28736017927344. Its totient is φ = 1399079485440.

The previous prime is 6658086970037. The next prime is 6658086970091. The reversal of 6658086970080 is 800796808566.

It is a super-2 number, since 2×6658086970080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3350822847 + ... + 3350824833.

It is an arithmetic number, because the mean of its divisors is an integer number (22172853339).

Almost surely, 2^{6658086970080} is an apocalyptic number.

6658086970080 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 6658086970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368008963672).

6658086970080 is an abundant number, since it is smaller than the sum of its proper divisors (22077930957264).

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

6658086970080 is a wasteful number, since it uses less digits than its factorization.

6658086970080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 6658086970080 in words is "six trillion, six hundred fifty-eight billion, eighty-six million, nine hundred seventy thousand, eighty".