6864689832048 has 120 divisors (see below), whose sum is σ = 19280616617808. Its totient is φ = 2280012097536.

The previous prime is 6864689831999. The next prime is 6864689832067. The reversal of 6864689832048 is 8402389864686.

It is a happy number.

6864689832048 is a `hidden beast` number, since 6 + 8 + 6 + 468 + 98 + 32 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317990311 + ... + 318011897.

Almost surely, 2^{6864689832048} 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 6864689832048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640308308904).

6864689832048 is an abundant number, since it is smaller than the sum of its proper divisors (12415926785760).

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

6864689832048 is a wasteful number, since it uses less digits than its factorization.

6864689832048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29431 (or 29422 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 6864689832048 in words is "six trillion, eight hundred sixty-four billion, six hundred eighty-nine million, eight hundred thirty-two thousand, forty-eight".