6684949440 has 672 divisors, whose sum is σ = 27259727040. Its totient is φ = 1544749056.

The previous prime is 6684949421. The next prime is 6684949483. The reversal of 6684949440 is 449494866.

It is a happy number.

6684949440 is a `hidden beast` number, since 6 + 68 + 494 + 94 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17184766 + ... + 17185154.

It is an arithmetic number, because the mean of its divisors is an integer number (40565070).

Almost surely, 2^6684949440 is an apocalyptic number.

6684949440 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 6684949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629863520).

6684949440 is an abundant number, since it is smaller than the sum of its proper divisors (20574777600).

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

6684949440 is a wasteful number, since it uses less digits than its factorization.

6684949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 6684949440 is about 81761.5401029115. The cubic root of 6684949440 is about 1883.7909622428.

The spelling of 6684949440 in words is "six billion, six hundred eighty-four million, nine hundred forty-nine thousand, four hundred forty".