342564768000 has 1152 divisors, whose sum is σ = 1556362429440. Its totient is φ = 72260812800.

The previous prime is 342564767957. The next prime is 342564768001. The reversal of 342564768000 is 867465243.

342564768000 is a `hidden beast` number, since 3 + 4 + 2 + 564 + 7 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342564768001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78621822 + ... + 78626178.

Almost surely, 2^342564768000 is an apocalyptic number.

342564768000 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 342564768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778181214720).

342564768000 is an abundant number, since it is smaller than the sum of its proper divisors (1213797661440).

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

342564768000 is a wasteful number, since it uses less digits than its factorization.

342564768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 342564768000 in words is "three hundred forty-two billion, five hundred sixty-four million, seven hundred sixty-eight thousand".