863556940247040 has 4992 divisors, whose sum is σ = 3743689079808000. Its totient is φ = 187816004812800.

The previous prime is 863556940247033. The next prime is 863556940247041. The reversal of 863556940247040 is 40742049655368.

863556940247040 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 569 + 4 + 0 + 24 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is not an unprimeable number, because it can be changed into a prime (863556940247041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1596223549170 + ... + 1596223549710.

Almost surely, 2^{863556940247040} is an apocalyptic number.

863556940247040 is a gapful number since it is divisible by the number (80) 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 863556940247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871844539904000).

863556940247040 is an abundant number, since it is smaller than the sum of its proper divisors (2880132139560960).

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

863556940247040 is a wasteful number, since it uses less digits than its factorization.

863556940247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 863556940247040 in words is "eight hundred sixty-three trillion, five hundred fifty-six billion, nine hundred forty million, two hundred forty-seven thousand, forty".