340601564160 has 1584 divisors, whose sum is σ = 1446057919488. Its totient is φ = 73574645760.

The previous prime is 340601564087. The next prime is 340601564183. The reversal of 340601564160 is 61465106043.

It is a happy number.

340601564160 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 0 + 1 + 5 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 2681902017 + ... + 2681902143.

Almost surely, 2^340601564160 is an apocalyptic number.

340601564160 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 340601564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723028959744).

340601564160 is an abundant number, since it is smaller than the sum of its proper divisors (1105456355328).

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

340601564160 is a wasteful number, since it uses less digits than its factorization.

340601564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 340601564160 in words is "three hundred forty billion, six hundred one million, five hundred sixty-four thousand, one hundred sixty".