864254467440 has 600 divisors, whose sum is σ = 3714711805728. Its totient is φ = 182346577920.

The previous prime is 864254467387. The next prime is 864254467459. The reversal of 864254467440 is 44764452468.

864254467440 is a `hidden beast` number, since 86 + 4 + 25 + 44 + 67 + 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 an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 7609470 + ... + 7722210.

Almost surely, 2^864254467440 is an apocalyptic number.

864254467440 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 864254467440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857355902864).

864254467440 is an abundant number, since it is smaller than the sum of its proper divisors (2850457338288).

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

864254467440 is a wasteful number, since it uses less digits than its factorization.

864254467440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112799 (or 112771 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 864254467440 in words is "eight hundred sixty-four billion, two hundred fifty-four million, four hundred sixty-seven thousand, four hundred forty".