6649812480 has 480 divisors, whose sum is σ = 23697492192. Its totient is φ = 1584660480.

The previous prime is 6649812431. The next prime is 6649812517. The reversal of 6649812480 is 842189466.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125468134 + ... + 125468186.

Almost surely, 2^6649812480 is an apocalyptic number.

6649812480 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 6649812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848746096).

6649812480 is an abundant number, since it is smaller than the sum of its proper divisors (17047679712).

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

6649812480 is a wasteful number, since it uses less digits than its factorization.

6649812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 6649812480 is about 81546.3823845056. The cubic root of 6649812480 is about 1880.4846796221.

The spelling of 6649812480 in words is "six billion, six hundred forty-nine million, eight hundred twelve thousand, four hundred eighty".