5963836870656 has 1872 divisors, whose sum is σ = 22667513253840. Its totient is φ = 1498247331840.

The previous prime is 5963836870637. The next prime is 5963836870657. The reversal of 5963836870656 is 6560786383695.

It can be written as a sum of positive squares in 8 ways, for example, as 13359661056 + 5950477209600 = 115584^2 + 2439360^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5963836870657) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 32949374886 + ... + 32949375066.

It is an arithmetic number, because the mean of its divisors is an integer number (12108714345).

Almost surely, 2^{5963836870656} is an apocalyptic number.

5963836870656 is a gapful number since it is divisible by the number (56) 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 5963836870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333756626920).

5963836870656 is an abundant number, since it is smaller than the sum of its proper divisors (16703676383184).

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

5963836870656 is a wasteful number, since it uses less digits than its factorization.

5963836870656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 5963836870656 in words is "five trillion, nine hundred sixty-three billion, eight hundred thirty-six million, eight hundred seventy thousand, six hundred fifty-six".