8706963456 has 240 divisors, whose sum is σ = 26399973600. Its totient is φ = 2858582016.

The previous prime is 8706963449. The next prime is 8706963479. The reversal of 8706963456 is 6543696078.

8706963456 is a `hidden beast` number, since 8 + 70 + 69 + 63 + 456 = 666.

It is a super-2 number, since 2×8706963456² (a number of 21 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12109465 + ... + 12110183.

It is an arithmetic number, because the mean of its divisors is an integer number (109999890).

Almost surely, 2^8706963456 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 8706963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199986800).

8706963456 is an abundant number, since it is smaller than the sum of its proper divisors (17693010144).

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

8706963456 is an equidigital number, since it uses as much as digits as its factorization.

8706963456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 8706963456 is about 93311.1111068773. Note that the first 4 decimals coincide. The cubic root of 8706963456 is about 2057.2586982386.

The spelling of 8706963456 in words is "eight billion, seven hundred six million, nine hundred sixty-three thousand, four hundred fifty-six".