6428379264 has 64 divisors (see below), whose sum is σ = 17111520000. Its totient is φ = 2138258432.

The previous prime is 6428379241. The next prime is 6428379281. The reversal of 6428379264 is 4629738246.

It is a tau number, because it is divible by the number of its divisors (64).

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, 166462 + ... + 201410.

It is an arithmetic number, because the mean of its divisors is an integer number (267367500).

Almost surely, 2^6428379264 is an apocalyptic number.

6428379264 is a gapful number since it is divisible by the number (64) 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 6428379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555760000).

6428379264 is an abundant number, since it is smaller than the sum of its proper divisors (10683140736).

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

6428379264 is a wasteful number, since it uses less digits than its factorization.

6428379264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35445 (or 35433 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 6428379264 is about 80177.1742081248. The cubic root of 6428379264 is about 1859.3757553688.

The spelling of 6428379264 in words is "six billion, four hundred twenty-eight million, three hundred seventy-nine thousand, two hundred sixty-four".