6362161344 has 336 divisors, whose sum is σ = 23085893376. Its totient is φ = 1627084800.

The previous prime is 6362161321. The next prime is 6362161367. The reversal of 6362161344 is 4431612636.

6362161344 is a `hidden beast` number, since 6 + 36 + 2 + 1 + 613 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6362161321) and next prime (6362161367).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6362161299 and 6362161308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2970514 + ... + 2972654.

It is an arithmetic number, because the mean of its divisors is an integer number (68708016).

Almost surely, 2^6362161344 is an apocalyptic number.

6362161344 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 6362161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542946688).

6362161344 is an abundant number, since it is smaller than the sum of its proper divisors (16723732032).

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

6362161344 is a wasteful number, since it uses less digits than its factorization.

6362161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2231 counting only the distinct ones).

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

The square root of 6362161344 is about 79763.1578111098. The cubic root of 6362161344 is about 1852.9693094316.

The spelling of 6362161344 in words is "six billion, three hundred sixty-two million, one hundred sixty-one thousand, three hundred forty-four".