5631267663216 has 320 divisors, whose sum is σ = 17722655677440. Its totient is φ = 1701547914240.

The previous prime is 5631267663181. The next prime is 5631267663223. The reversal of 5631267663216 is 6123667621365.

5631267663216 is a `hidden beast` number, since 56 + 3 + 1 + 267 + 6 + 6 + 321 + 6 = 666.

It is a super-2 number, since 2×5631267663216² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77807206 + ... + 77879546.

It is an arithmetic number, because the mean of its divisors is an integer number (55383298992).

Almost surely, 2^{5631267663216} 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 5631267663216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8861327838720).

5631267663216 is an abundant number, since it is smaller than the sum of its proper divisors (12091388014224).

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

5631267663216 is a wasteful number, since it uses less digits than its factorization.

5631267663216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72621 (or 72609 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 5631267663216 in words is "five trillion, six hundred thirty-one billion, two hundred sixty-seven million, six hundred sixty-three thousand, two hundred sixteen".