6464628720 has 240 divisors, whose sum is σ = 24074110944. Its totient is φ = 1541376000.

The previous prime is 6464628649. The next prime is 6464628733. The reversal of 6464628720 is 278264646.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 476430 + ... + 489810.

Almost surely, 2^6464628720 is an apocalyptic number.

6464628720 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 6464628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037055472).

6464628720 is an abundant number, since it is smaller than the sum of its proper divisors (17609482224).

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

6464628720 is a wasteful number, since it uses less digits than its factorization.

6464628720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13472 (or 13463 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 6464628720 is about 80402.9148725343. The cubic root of 6464628720 is about 1862.8641962753.

The spelling of 6464628720 in words is "six billion, four hundred sixty-four million, six hundred twenty-eight thousand, seven hundred twenty".