6648913920 has 224 divisors, whose sum is σ = 23214055680. Its totient is φ = 1611530240.

The previous prime is 6648913913. The next prime is 6648913933. The reversal of 6648913920 is 293198466.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6648913920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349221 + ... + 1354139.

Almost surely, 2^6648913920 is an apocalyptic number.

6648913920 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 6648913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11607027840).

6648913920 is an abundant number, since it is smaller than the sum of its proper divisors (16565141760).

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

6648913920 is a wasteful number, since it uses less digits than its factorization.

6648913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 6648913920 is about 81540.8726958450. The cubic root of 6648913920 is about 1880.3999752572.

The spelling of 6648913920 in words is "six billion, six hundred forty-eight million, nine hundred thirteen thousand, nine hundred twenty".