342667682496 has 672 divisors, whose sum is σ = 1110581472000. Its totient is φ = 104404930560.

The previous prime is 342667682443. The next prime is 342667682501. The reversal of 342667682496 is 694286766243.

342667682496 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 67 + 6 + 82 + 496 = 666.

It is a super-2 number, since 2×342667682496² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1893191526 + ... + 1893191706.

It is an arithmetic number, because the mean of its divisors is an integer number (1652651000).

Almost surely, 2^342667682496 is an apocalyptic number.

342667682496 is a gapful number since it is divisible by the number (36) 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 342667682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555290736000).

342667682496 is an abundant number, since it is smaller than the sum of its proper divisors (767913789504).

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

342667682496 is a wasteful number, since it uses less digits than its factorization.

342667682496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 397 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 342667682496 in words is "three hundred forty-two billion, six hundred sixty-seven million, six hundred eighty-two thousand, four hundred ninety-six".