864420355344 has 320 divisors, whose sum is σ = 2895714662400. Its totient is φ = 215782465536.

The previous prime is 864420355313. The next prime is 864420355367. The reversal of 864420355344 is 443553024468.

It is a happy number.

864420355344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 864420355293 and 864420355302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104482792 + ... + 104491064.

It is an arithmetic number, because the mean of its divisors is an integer number (9049108320).

Almost surely, 2^864420355344 is an apocalyptic number.

864420355344 is a gapful number since it is divisible by the number (84) 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 864420355344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447857331200).

864420355344 is an abundant number, since it is smaller than the sum of its proper divisors (2031294307056).

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

864420355344 is a wasteful number, since it uses less digits than its factorization.

864420355344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 864420355344 in words is "eight hundred sixty-four billion, four hundred twenty million, three hundred fifty-five thousand, three hundred forty-four".