864466710240 has 288 divisors, whose sum is σ = 3168702996480. Its totient is φ = 197526905856.

The previous prime is 864466710203. The next prime is 864466710293. The reversal of 864466710240 is 42017664468.

It is a super-2 number, since 2×864466710240² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 864466710240.

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 47 ways as a sum of consecutive naturals, for example, 129427221 + ... + 129433899.

It is an arithmetic number, because the mean of its divisors is an integer number (11002440960).

Almost surely, 2^864466710240 is an apocalyptic number.

864466710240 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 864466710240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584351498240).

864466710240 is an abundant number, since it is smaller than the sum of its proper divisors (2304236286240).

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

864466710240 is a wasteful number, since it uses less digits than its factorization.

864466710240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12214 (or 12199 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 864466710240 in words is "eight hundred sixty-four billion, four hundred sixty-six million, seven hundred ten thousand, two hundred forty".