342845946320640 has 864 divisors, whose sum is σ = 1347512886720000. Its totient is φ = 73867104976896.

The previous prime is 342845946320627. The next prime is 342845946320677. The reversal of 342845946320640 is 46023649548243.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 711192006 + ... + 711673914.

Almost surely, 2^{342845946320640} is an apocalyptic number.

342845946320640 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 342845946320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673756443360000).

342845946320640 is an abundant number, since it is smaller than the sum of its proper divisors (1004666940399360).

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

342845946320640 is a wasteful number, since it uses less digits than its factorization.

342845946320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482165 (or 482144 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 60.

The spelling of 342845946320640 in words is "three hundred forty-two trillion, eight hundred forty-five billion, nine hundred forty-six million, three hundred twenty thousand, six hundred forty".