6611704056000 has 2240 divisors, whose sum is σ = 28168669900800. Its totient is φ = 1519865856000.

The previous prime is 6611704055987. The next prime is 6611704056059. The reversal of 6611704056000 is 6504071166.

6611704056000 is a `hidden beast` number, since 6 + 6 + 1 + 1 + 7 + 0 + 40 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×6611704056000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6488423491 + ... + 6488424509.

Almost surely, 2^{6611704056000} is an apocalyptic number.

6611704056000 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 6611704056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084334950400).

6611704056000 is an abundant number, since it is smaller than the sum of its proper divisors (21556965844800).

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

6611704056000 is a wasteful number, since it uses less digits than its factorization.

6611704056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 6611704056000 in words is "six trillion, six hundred eleven billion, seven hundred four million, fifty-six thousand".