342768983780160 has 336 divisors, whose sum is σ = 1349606657932416. Its totient is φ = 78219384016896.

The previous prime is 342768983780053. The next prime is 342768983780189. The reversal of 342768983780160 is 61087389867243.

342768983780160 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 6 + 8 + 98 + 378 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510134 + ... + 26226293.

Almost surely, 2^{342768983780160} is an apocalyptic number.

342768983780160 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 342768983780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674803328966208).

342768983780160 is an abundant number, since it is smaller than the sum of its proper divisors (1006837674152256).

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

342768983780160 is a wasteful number, since it uses less digits than its factorization.

342768983780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27737070 (or 27737057 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 342768983780160 in words is "three hundred forty-two trillion, seven hundred sixty-eight billion, nine hundred eighty-three million, seven hundred eighty thousand, one hundred sixty".