342665864640 has 448 divisors, whose sum is σ = 1330456389120. Its totient is φ = 82332794880.

The previous prime is 342665864623. The next prime is 342665864659. The reversal of 342665864640 is 46468566243.

342665864640 is a `hidden beast` number, since 3 + 42 + 6 + 65 + 86 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10723567 + ... + 10755473.

Almost surely, 2^342665864640 is an apocalyptic number.

342665864640 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 342665864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665228194560).

342665864640 is an abundant number, since it is smaller than the sum of its proper divisors (987790524480).

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

342665864640 is a wasteful number, since it uses less digits than its factorization.

342665864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32057 (or 32041 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 342665864640 in words is "three hundred forty-two billion, six hundred sixty-five million, eight hundred sixty-four thousand, six hundred forty".