342355629127680 has 1344 divisors, whose sum is σ = 1408663436544000. Its totient is φ = 78191454781440.

The previous prime is 342355629127679. The next prime is 342355629127783. The reversal of 342355629127680 is 86721926553243.

342355629127680 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 5 + 562 + 9 + 1 + 2 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 125359071915 + ... + 125359074645.

It is an arithmetic number, because the mean of its divisors is an integer number (1048112676000).

It is a 1-persistent number, because it is pandigital, but 2⋅342355629127680 = 684711258255360 is not.

Almost surely, 2^{342355629127680} is an apocalyptic number.

342355629127680 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 342355629127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704331718272000).

342355629127680 is an abundant number, since it is smaller than the sum of its proper divisors (1066307807416320).

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

342355629127680 is an equidigital number, since it uses as much as digits as its factorization.

342355629127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 342355629127680 in words is "three hundred forty-two trillion, three hundred fifty-five billion, six hundred twenty-nine million, one hundred twenty-seven thousand, six hundred eighty".