859340240640 has 1152 divisors, whose sum is σ = 3710611537920. Its totient is φ = 183841062912.

The previous prime is 859340240617. The next prime is 859340240663. The reversal of 859340240640 is 46042043958.

859340240640 is a `hidden beast` number, since 8 + 5 + 9 + 340 + 240 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (859340240617) and next prime (859340240663).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 917118252 + ... + 917119188.

It is an arithmetic number, because the mean of its divisors is an integer number (3221016960).

Almost surely, 2^859340240640 is an apocalyptic number.

859340240640 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 859340240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855305768960).

859340240640 is an abundant number, since it is smaller than the sum of its proper divisors (2851271297280).

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

859340240640 is a wasteful number, since it uses less digits than its factorization.

859340240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 859340240640 in words is "eight hundred fifty-nine billion, three hundred forty million, two hundred forty thousand, six hundred forty".