6617665077000 has 256 divisors, whose sum is σ = 21318382725120. Its totient is φ = 1707365376000.

The previous prime is 6617665076989. The next prime is 6617665077011. The reversal of 6617665077000 is 7705667166.

It is an interprime number because it is at equal distance from previous prime (6617665076989) and next prime (6617665077011).

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, 601983504 + ... + 601994496.

It is an arithmetic number, because the mean of its divisors is an integer number (83274932520).

Almost surely, 2^{6617665077000} is an apocalyptic number.

6617665077000 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 6617665077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659191362560).

6617665077000 is an abundant number, since it is smaller than the sum of its proper divisors (14700717648120).

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

6617665077000 is a wasteful number, since it uses less digits than its factorization.

6617665077000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17521 (or 17507 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 6617665077000 in words is "six trillion, six hundred seventeen billion, six hundred sixty-five million, seventy-seven thousand".