6407887872 has 88 divisors (see below), whose sum is σ = 17108039952. Its totient is φ = 2132377600.

The previous prime is 6407887861. The next prime is 6407887897. The reversal of 6407887872 is 2787887046.

It is a super-2 number, since 2×6407887872² = 82122053960249376768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2336422 + ... + 2339162.

Almost surely, 2^6407887872 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 6407887872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8554019976).

6407887872 is an abundant number, since it is smaller than the sum of its proper divisors (10700152080).

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

6407887872 is a wasteful number, since it uses less digits than its factorization.

6407887872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The square root of 6407887872 is about 80049.2840192840. The cubic root of 6407887872 is about 1857.3979756867.

The spelling of 6407887872 in words is "six billion, four hundred seven million, eight hundred eighty-seven thousand, eight hundred seventy-two".