6864415546464 has 576 divisors, whose sum is σ = 25066374068736. Its totient is φ = 1802955055104.

The previous prime is 6864415546441. The next prime is 6864415546489. The reversal of 6864415546464 is 4646455144686.

6864415546464 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 41 + 5 + 546 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39703534 + ... + 39876050.

It is an arithmetic number, because the mean of its divisors is an integer number (43518010536).

Almost surely, 2^{6864415546464} 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 6864415546464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533187034368).

6864415546464 is an abundant number, since it is smaller than the sum of its proper divisors (18201958522272).

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

6864415546464 is a wasteful number, since it uses less digits than its factorization.

6864415546464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172609 (or 172589 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 63.

The spelling of 6864415546464 in words is "six trillion, eight hundred sixty-four billion, four hundred fifteen million, five hundred forty-six thousand, four hundred sixty-four".