340585015680 has 2560 divisors, whose sum is σ = 1620281456640. Its totient is φ = 66217181184.

The previous prime is 340585015669. The next prime is 340585015691. The reversal of 340585015680 is 86510585043.

340585015680 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 85 + 0 + 1 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (340585015669) and next prime (340585015691).

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 319 ways as a sum of consecutive naturals, for example, 4665548124 + ... + 4665548196.

It is an arithmetic number, because the mean of its divisors is an integer number (632922444).

Almost surely, 2^340585015680 is an apocalyptic number.

340585015680 is a gapful number since it is divisible by the number (30) 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 340585015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810140728320).

340585015680 is an abundant number, since it is smaller than the sum of its proper divisors (1279696440960).

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

340585015680 is a wasteful number, since it uses less digits than its factorization.

340585015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 340585015680 in words is "three hundred forty billion, five hundred eighty-five million, fifteen thousand, six hundred eighty".