6407537920 has 108 divisors (see below), whose sum is σ = 17854035444. Its totient is φ = 2196848640.

The previous prime is 6407537891. The next prime is 6407537951. The reversal of 6407537920 is 297357046.

It can be written as a sum of positive squares in 2 ways, for example, as 4790854656 + 1616683264 = 69216^2 + 40208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11640 + ... + 113800.

It is an arithmetic number, because the mean of its divisors is an integer number (165315143).

Almost surely, 2^6407537920 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 6407537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8927017722).

6407537920 is an abundant number, since it is smaller than the sum of its proper divisors (11446497524).

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

6407537920 is a wasteful number, since it uses less digits than its factorization.

6407537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102196 (or 102175 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The square root of 6407537920 is about 80047.0981360349. The cubic root of 6407537920 is about 1857.3641625706.

The spelling of 6407537920 in words is "six billion, four hundred seven million, five hundred thirty-seven thousand, nine hundred twenty".