6449664000 has 832 divisors, whose sum is σ = 25760367360. Its totient is φ = 1415577600.

The previous prime is 6449663939. The next prime is 6449664031. The reversal of 6449664000 is 4669446.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6449664000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339455991 + ... + 339456009.

It is an arithmetic number, because the mean of its divisors is an integer number (30961980).

Almost surely, 2^6449664000 is an apocalyptic number.

6449664000 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 6449664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880183680).

6449664000 is an abundant number, since it is smaller than the sum of its proper divisors (19310703360).

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

6449664000 is a wasteful number, since it uses less digits than its factorization.

6449664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 6449664000 is about 80309.8001491723. The cubic root of 6449664000 is about 1861.4256615112.

The spelling of 6449664000 in words is "six billion, four hundred forty-nine million, six hundred sixty-four thousand".