864741434640 has 320 divisors, whose sum is σ = 2896201059840. Its totient is φ = 212782366720.

The previous prime is 864741434593. The next prime is 864741434651. The reversal of 864741434640 is 46434147468.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354255820 + ... + 354258260.

It is an arithmetic number, because the mean of its divisors is an integer number (9050628312).

Almost surely, 2^864741434640 is an apocalyptic number.

864741434640 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 864741434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448100529920).

864741434640 is an abundant number, since it is smaller than the sum of its proper divisors (2031459625200).

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

864741434640 is a wasteful number, since it uses less digits than its factorization.

864741434640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 864741434640 in words is "eight hundred sixty-four billion, seven hundred forty-one million, four hundred thirty-four thousand, six hundred forty".