863284443840 has 1344 divisors, whose sum is σ = 3990016343040. Its totient is φ = 172530155520.

The previous prime is 863284443829. The next prime is 863284443881. The reversal of 863284443840 is 48344482368.

863284443840 is a `hidden beast` number, since 86 + 3 + 2 + 84 + 443 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×863284443840² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134443830 + ... + 134450250.

It is an arithmetic number, because the mean of its divisors is an integer number (2968762160).

Almost surely, 2^863284443840 is an apocalyptic number.

863284443840 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 863284443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995008171520).

863284443840 is an abundant number, since it is smaller than the sum of its proper divisors (3126731899200).

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

863284443840 is a wasteful number, since it uses less digits than its factorization.

863284443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 863284443840 in words is "eight hundred sixty-three billion, two hundred eighty-four million, four hundred forty-three thousand, eight hundred forty".