6456161376 has 480 divisors, whose sum is σ = 22803137280. Its totient is φ = 1753519104.

The previous prime is 6456161357. The next prime is 6456161381. The reversal of 6456161376 is 6731616546.

6456161376 is a `hidden beast` number, since 6 + 4 + 561 + 6 + 13 + 76 = 666.

It is a super-3 number, since 3×6456161376³ (a number of 30 digits) contains 333 as substring.

Its product of digits (544320) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39608271 + ... + 39608433.

It is an arithmetic number, because the mean of its divisors is an integer number (47506536).

Almost surely, 2^6456161376 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 6456161376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11401568640).

6456161376 is an abundant number, since it is smaller than the sum of its proper divisors (16346975904).

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

6456161376 is a wasteful number, since it uses less digits than its factorization.

6456161376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 6456161376 is about 80350.2419162506. The cubic root of 6456161376 is about 1862.0505169769.

The spelling of 6456161376 in words is "six billion, four hundred fifty-six million, one hundred sixty-one thousand, three hundred seventy-six".