6400860000 has 120 divisors (see below), whose sum is σ = 20996297784. Its totient is φ = 1706880000.

The previous prime is 6400859989. The next prime is 6400860007. The reversal of 6400860000 is 680046.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6400860007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6660 + ... + 113340.

Almost surely, 2^6400860000 is an apocalyptic number.

6400860000 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 6400860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10498148892).

6400860000 is an abundant number, since it is smaller than the sum of its proper divisors (14595437784).

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

6400860000 is a wasteful number, since it uses less digits than its factorization.

6400860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106714 (or 106691 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6400860000 is about 80005.3748194457. The cubic root of 6400860000 is about 1856.7186915204.

The spelling of 6400860000 in words is "six billion, four hundred million, eight hundred sixty thousand".