6425664000 has 480 divisors, whose sum is σ = 24888067776. Its totient is φ = 1466572800.

The previous prime is 6425663983. The next prime is 6425664013. The reversal of 6425664000 is 4665246.

It is a tau number, because it is divible by the number of its divisors (480).

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, 9407659 + ... + 9408341.

Almost surely, 2^6425664000 is an apocalyptic number.

6425664000 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 6425664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12444033888).

6425664000 is an abundant number, since it is smaller than the sum of its proper divisors (18462403776).

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

6425664000 is an equidigital number, since it uses as much as digits as its factorization.

6425664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 6425664000 is about 80160.2395206002. The cubic root of 6425664000 is about 1859.1139264357.

The spelling of 6425664000 in words is "six billion, four hundred twenty-five million, six hundred sixty-four thousand".