4631876960256 has 1280 divisors, whose sum is σ = 17279463505920. Its totient is φ = 1203948748800.

The previous prime is 4631876960237. The next prime is 4631876960303. The reversal of 4631876960256 is 6520696781364.

4631876960256 is a `hidden beast` number, since 4 + 6 + 3 + 18 + 7 + 6 + 9 + 602 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4631876960193 and 4631876960202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30674681781 + ... + 30674681931.

It is an arithmetic number, because the mean of its divisors is an integer number (13499580864).

It is a 1-persistent number, because it is pandigital, but 2⋅4631876960256 = 9263753920512 is not.

Almost surely, 2^{4631876960256} 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 4631876960256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639731752960).

4631876960256 is an abundant number, since it is smaller than the sum of its proper divisors (12647586545664).

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

4631876960256 is a wasteful number, since it uses less digits than its factorization.

4631876960256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 4631876960256 in words is "four trillion, six hundred thirty-one billion, eight hundred seventy-six million, nine hundred sixty thousand, two hundred fifty-six".