864206893440 has 256 divisors, whose sum is σ = 3338981913600. Its totient is φ = 209504655360.

The previous prime is 864206893439. The next prime is 864206893447. The reversal of 864206893440 is 44398602468.

864206893440 is a `hidden beast` number, since 86 + 42 + 0 + 6 + 89 + 3 + 440 = 666.

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 (864206893447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2083192 + ... + 2463351.

It is an arithmetic number, because the mean of its divisors is an integer number (13042898100).

Almost surely, 2^864206893440 is an apocalyptic number.

864206893440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864206893440 is an abundant number, since it is smaller than the sum of its proper divisors (2474775020160).

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

864206893440 is a wasteful number, since it uses less digits than its factorization.

864206893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546582 (or 4546564 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 864206893440 in words is "eight hundred sixty-four billion, two hundred six million, eight hundred ninety-three thousand, four hundred forty".