6464640000 has 880 divisors, whose sum is σ = 27216387968. Its totient is φ = 1327104000.

The previous prime is 6464639999. The next prime is 6464640019. The reversal of 6464640000 is 464646.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 6464640000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174719982 + ... + 174720018.

Almost surely, 2^6464640000 is an apocalyptic number.

6464640000 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 6464640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608193984).

6464640000 is an abundant number, since it is smaller than the sum of its proper divisors (20751747968).

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

6464640000 is a wasteful number, since it uses less digits than its factorization.

6464640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6464640000 is about 80402.9850192143. The cubic root of 6464640000 is about 1862.8652797660.

It can be divided in two parts, 6 and 464640000, that multiplied together give a square (2787840000 = 52800²).

The spelling of 6464640000 in words is "six billion, four hundred sixty-four million, six hundred forty thousand".