342619264980720 has 1440 divisors, whose sum is σ = 1432418411354112. Its totient is φ = 71859832971264.

The previous prime is 342619264980701. The next prime is 342619264980767. The reversal of 342619264980720 is 27089462916243.

342619264980720 is a `hidden beast` number, since 3 + 4 + 2 + 619 + 2 + 6 + 4 + 9 + 8 + 0 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×342619264980720² (a number of 30 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 118676571117 + ... + 118676574003.

Almost surely, 2^{342619264980720} is an apocalyptic number.

342619264980720 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 342619264980720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716209205677056).

342619264980720 is an abundant number, since it is smaller than the sum of its proper divisors (1089799146373392).

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

342619264980720 is a wasteful number, since it uses less digits than its factorization.

342619264980720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 342619264980720 in words is "three hundred forty-two trillion, six hundred nineteen billion, two hundred sixty-four million, nine hundred eighty thousand, seven hundred twenty".