6423402960 has 360 divisors, whose sum is σ = 24531258024. Its totient is φ = 1497139200.

The previous prime is 6423402959. The next prime is 6423402967. The reversal of 6423402960 is 692043246.

6423402960 is a `hidden beast` number, since 642 + 3 + 4 + 0 + 2 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91699776 + 6331703184 = 9576^2 + 79572^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6423402967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3378010 + ... + 3379910.

Almost surely, 2^6423402960 is an apocalyptic number.

6423402960 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 6423402960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265629012).

6423402960 is an abundant number, since it is smaller than the sum of its proper divisors (18107855064).

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

6423402960 is a wasteful number, since it uses less digits than its factorization.

6423402960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6423402960 is about 80146.1350284591. The cubic root of 6423402960 is about 1858.8958413688.

The spelling of 6423402960 in words is "six billion, four hundred twenty-three million, four hundred two thousand, nine hundred sixty".