345777680640 has 432 divisors, whose sum is σ = 1319372010432. Its totient is φ = 76897271808.

The previous prime is 345777680561. The next prime is 345777680713. The reversal of 345777680640 is 46086777543.

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 47 ways as a sum of consecutive naturals, for example, 6937087 + ... + 6986753.

It is an arithmetic number, because the mean of its divisors is an integer number (3054101876).

Almost surely, 2^345777680640 is an apocalyptic number.

345777680640 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 345777680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659686005216).

345777680640 is an abundant number, since it is smaller than the sum of its proper divisors (973594329792).

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

345777680640 is a wasteful number, since it uses less digits than its factorization.

345777680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49742 (or 49721 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 57.

The spelling of 345777680640 in words is "three hundred forty-five billion, seven hundred seventy-seven million, six hundred eighty thousand, six hundred forty".