6864747542016 has 320 divisors, whose sum is σ = 22530591283200. Its totient is φ = 1808702078976.

The previous prime is 6864747541943. The next prime is 6864747542021. The reversal of 6864747542016 is 6102457474686.

It is a super-2 number, since 2×6864747542016² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145203630 + ... + 145250898.

It is an arithmetic number, because the mean of its divisors is an integer number (70408097760).

Almost surely, 2^{6864747542016} 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 6864747542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11265295641600).

6864747542016 is an abundant number, since it is smaller than the sum of its proper divisors (15665843741184).

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

6864747542016 is a wasteful number, since it uses less digits than its factorization.

6864747542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48349 (or 48333 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 6864747542016 in words is "six trillion, eight hundred sixty-four billion, seven hundred forty-seven million, five hundred forty-two thousand, sixteen".