863963720460 has 216 divisors, whose sum is σ = 2745594699120. Its totient is φ = 219890145024.

The previous prime is 863963720407. The next prime is 863963720461. The reversal of 863963720460 is 64027369368.

863963720460 is a `hidden beast` number, since 8 + 63 + 96 + 37 + 2 + 0 + 460 = 666.

It is a super-2 number, since 2×863963720460² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 863963720397 and 863963720406.

It is not an unprimeable number, because it can be changed into a prime (863963720461) 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 71 ways as a sum of consecutive naturals, for example, 44458026 + ... + 44477454.

It is an arithmetic number, because the mean of its divisors is an integer number (12711086570).

Almost surely, 2^863963720460 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 863963720460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372797349560).

863963720460 is an abundant number, since it is smaller than the sum of its proper divisors (1881630978660).

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

863963720460 is a wasteful number, since it uses less digits than its factorization.

863963720460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19957 (or 19929 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 863963720460 in words is "eight hundred sixty-three billion, nine hundred sixty-three million, seven hundred twenty thousand, four hundred sixty".