6454163268 has 240 divisors, whose sum is σ = 19758816000. Its totient is φ = 1799159040.

The previous prime is 6454163227. The next prime is 6454163269. The reversal of 6454163268 is 8623614546.

6454163268 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 1 + 632 + 6 + 8 = 666.

Its product of digits (829440) is a multiple of the sum of its prime factors (512).

It is not an unprimeable number, because it can be changed into a prime (6454163269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23993038 + ... + 23993306.

It is an arithmetic number, because the mean of its divisors is an integer number (82328400).

Almost surely, 2^6454163268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6454163268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879408000).

6454163268 is an abundant number, since it is smaller than the sum of its proper divisors (13304652732).

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

6454163268 is a wasteful number, since it uses less digits than its factorization.

6454163268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 501 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 6454163268 is about 80337.8072142873. The cubic root of 6454163268 is about 1861.8584027205.

The spelling of 6454163268 in words is "six billion, four hundred fifty-four million, one hundred sixty-three thousand, two hundred sixty-eight".