863219047680 has 1728 divisors, whose sum is σ = 3630711087360. Its totient is φ = 194925035520.

The previous prime is 863219047673. The next prime is 863219047681. The reversal of 863219047680 is 86740912368.

863219047680 is a `hidden beast` number, since 8 + 6 + 3 + 2 + 1 + 90 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×863219047680² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863219047681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8899165392 + ... + 8899165488.

Almost surely, 2^863219047680 is an apocalyptic number.

863219047680 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 863219047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815355543680).

863219047680 is an abundant number, since it is smaller than the sum of its proper divisors (2767492039680).

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

863219047680 is an equidigital number, since it uses as much as digits as its factorization.

863219047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 863219047680 in words is "eight hundred sixty-three billion, two hundred nineteen million, forty-seven thousand, six hundred eighty".