345715568640 has 2080 divisors, whose sum is σ = 1510548310656. Its totient is φ = 74742497280.

The previous prime is 345715568633. The next prime is 345715568701. The reversal of 345715568640 is 46865517543.

It is a happy number.

345715568640 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 1 + 556 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8432087020 + ... + 8432087060.

Almost surely, 2^345715568640 is an apocalyptic number.

345715568640 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 345715568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755274155328).

345715568640 is an abundant number, since it is smaller than the sum of its proper divisors (1164832742016).

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

345715568640 is a wasteful number, since it uses less digits than its factorization.

345715568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 345715568640 in words is "three hundred forty-five billion, seven hundred fifteen million, five hundred sixty-eight thousand, six hundred forty".