6864359040 has 1152 divisors, whose sum is σ = 31549089600. Its totient is φ = 1405071360.

The previous prime is 6864358961. The next prime is 6864359053. The reversal of 6864359040 is 409534686.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×6864359040³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102453087 + ... + 102453153.

Almost surely, 2^6864359040 is an apocalyptic number.

6864359040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6864359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15774544800).

6864359040 is an abundant number, since it is smaller than the sum of its proper divisors (24684730560).

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

6864359040 is a wasteful number, since it uses less digits than its factorization.

6864359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6864359040 is about 82851.4275073158. The cubic root of 6864359040 is about 1900.4947040541.

The spelling of 6864359040 in words is "six billion, eight hundred sixty-four million, three hundred fifty-nine thousand, forty".