345583365079680 has 6912 divisors, whose sum is σ = 1633742080064640. Its totient is φ = 69518007336960.

The previous prime is 345583365079613. The next prime is 345583365079709. The reversal of 345583365079680 is 86970563385543.

345583365079680 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 8 + 3 + 36 + 507 + 9 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 345583365079599 and 345583365079608.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 4163655000919 + ... + 4163655001001.

Almost surely, 2^{345583365079680} is an apocalyptic number.

345583365079680 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 345583365079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816871040032320).

345583365079680 is an abundant number, since it is smaller than the sum of its proper divisors (1288158714984960).

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

345583365079680 is a wasteful number, since it uses less digits than its factorization.

345583365079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1959552000, while the sum is 72.

The spelling of 345583365079680 in words is "three hundred forty-five trillion, five hundred eighty-three billion, three hundred sixty-five million, seventy-nine thousand, six hundred eighty".