6117284617752 has 1024 divisors, whose sum is σ = 21343216435200. Its totient is φ = 1413927567360.

The previous prime is 6117284617721. The next prime is 6117284617799. The reversal of 6117284617752 is 2577164827116.

It is a junction number, because it is equal to n+sod(n) for n = 6117284617692 and 6117284617701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5153566903 + ... + 5153568089.

It is an arithmetic number, because the mean of its divisors is an integer number (20842984800).

Almost surely, 2^{6117284617752} 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 6117284617752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10671608217600).

6117284617752 is an abundant number, since it is smaller than the sum of its proper divisors (15225931817448).

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

6117284617752 is a wasteful number, since it uses less digits than its factorization.

6117284617752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 57.

The spelling of 6117284617752 in words is "six trillion, one hundred seventeen billion, two hundred eighty-four million, six hundred seventeen thousand, seven hundred fifty-two".