6617645970672 has 160 divisors (see below), whose sum is σ = 19086858362880. Its totient is φ = 1958360866560.

The previous prime is 6617645970601. The next prime is 6617645970679. The reversal of 6617645970672 is 2760795467166.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6617645970679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144533479 + ... + 144579257.

It is an arithmetic number, because the mean of its divisors is an integer number (119292864768).

Almost surely, 2^{6617645970672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6617645970672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9543429181440).

6617645970672 is an abundant number, since it is smaller than the sum of its proper divisors (12469212392208).

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

6617645970672 is a wasteful number, since it uses less digits than its factorization.

6617645970672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52211 (or 52205 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 66.

The spelling of 6617645970672 in words is "six trillion, six hundred seventeen billion, six hundred forty-five million, nine hundred seventy thousand, six hundred seventy-two".