6707087548656 has 320 divisors, whose sum is σ = 20329030287360. Its totient is φ = 1883965824000.

The previous prime is 6707087548627. The next prime is 6707087548661. The reversal of 6707087548656 is 6568457807076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116854141 + ... + 116911523.

It is an arithmetic number, because the mean of its divisors is an integer number (63528219648).

Almost surely, 2^{6707087548656} is an apocalyptic number.

6707087548656 is a gapful number since it is divisible by the number (66) 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 6707087548656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164515143680).

6707087548656 is an abundant number, since it is smaller than the sum of its proper divisors (13621942738704).

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

6707087548656 is a wasteful number, since it uses less digits than its factorization.

6707087548656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57676 (or 57670 counting only the distinct ones).

The product of its (nonzero) digits is 474163200, while the sum is 69.

The spelling of 6707087548656 in words is "six trillion, seven hundred seven billion, eighty-seven million, five hundred forty-eight thousand, six hundred fifty-six".