6407006688 has 120 divisors (see below), whose sum is σ = 18987673320. Its totient is φ = 2119253760.

The previous prime is 6407006651. The next prime is 6407006689. The reversal of 6407006688 is 8866007046.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407006689) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 330118 + ... + 348986.

It is an arithmetic number, because the mean of its divisors is an integer number (158230611).

Almost surely, 2^6407006688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6407006688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9493836660).

6407006688 is an abundant number, since it is smaller than the sum of its proper divisors (12580666632).

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

6407006688 is a wasteful number, since it uses less digits than its factorization.

6407006688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19022 (or 19005 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6407006688 is about 80043.7798207956. The cubic root of 6407006688 is about 1857.3128314373.

The spelling of 6407006688 in words is "six billion, four hundred seven million, six thousand, six hundred eighty-eight".