6456000096 has 324 divisors, whose sum is σ = 23134414212. Its totient is φ = 1702052352.

The previous prime is 6456000073. The next prime is 6456000107. The reversal of 6456000096 is 6900006546.

It is a happy number.

6456000096 is a `hidden beast` number, since 6 + 4 + 560 + 0 + 0 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6456000096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2383575 + ... + 2386281.

It is an arithmetic number, because the mean of its divisors is an integer number (71402513).

Almost surely, 2^6456000096 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 6456000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11567207106).

6456000096 is an abundant number, since it is smaller than the sum of its proper divisors (16678414116).

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

6456000096 is a wasteful number, since it uses less digits than its factorization.

6456000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6456000096 is about 80349.2383037948. The cubic root of 6456000096 is about 1862.0350116845.

The spelling of 6456000096 in words is "six billion, four hundred fifty-six million, ninety-six", and thus it is an aban number.