6403279680 has 672 divisors, whose sum is σ = 26976019200. Its totient is φ = 1361608704.

The previous prime is 6403279669. The next prime is 6403279693. The reversal of 6403279680 is 869723046.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27961806 + ... + 27962034.

Almost surely, 2^6403279680 is an apocalyptic number.

6403279680 is a gapful number since it is divisible by the number (60) 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 6403279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488009600).

6403279680 is an abundant number, since it is smaller than the sum of its proper divisors (20572739520).

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

6403279680 is a wasteful number, since it uses less digits than its factorization.

6403279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6403279680 is about 80020.4953746226. The cubic root of 6403279680 is about 1856.9526235800.

The spelling of 6403279680 in words is "six billion, four hundred three million, two hundred seventy-nine thousand, six hundred eighty".