6407191920 has 40 divisors (see below), whose sum is σ = 19862295696. Its totient is φ = 1708584448.

The previous prime is 6407191891. The next prime is 6407191961. The reversal of 6407191920 is 291917046.

It is a tau number, because it is divible by the number of its divisors (40).

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, 13348077 + ... + 13348556.

Almost surely, 2^6407191920 is an apocalyptic number.

6407191920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6407191920 is an abundant number, since it is smaller than the sum of its proper divisors (13455103776).

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

6407191920 is a wasteful number, since it uses less digits than its factorization.

6407191920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26696649 (or 26696643 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 6407191920 is about 80044.9368792305. The cubic root of 6407191920 is about 1857.3307300948.

The spelling of 6407191920 in words is "six billion, four hundred seven million, one hundred ninety-one thousand, nine hundred twenty".