6864908440 has 192 divisors, whose sum is σ = 17740166400. Its totient is φ = 2384718336.

The previous prime is 6864908387. The next prime is 6864908473. The reversal of 6864908440 is 448094686.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10416831 + ... + 10417489.

It is an arithmetic number, because the mean of its divisors is an integer number (92396700).

Almost surely, 2^6864908440 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 6864908440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870083200).

6864908440 is an abundant number, since it is smaller than the sum of its proper divisors (10875257960).

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

6864908440 is a wasteful number, since it uses less digits than its factorization.

6864908440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The square root of 6864908440 is about 82854.7430145070. The cubic root of 6864908440 is about 1900.5454057501.

The spelling of 6864908440 in words is "six billion, eight hundred sixty-four million, nine hundred eight thousand, four hundred forty".