363348040680 has 160 divisors (see below), whose sum is σ = 1225158323400. Its totient is φ = 96582979584.

The previous prime is 363348040661. The next prime is 363348040751. The reversal of 363348040680 is 86040843363.

363348040680 is a `hidden beast` number, since 3 + 63 + 34 + 80 + 406 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69547183524 + 293800857156 = 263718^2 + 542034^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 834976 + ... + 1193264.

Almost surely, 2^363348040680 is an apocalyptic number.

363348040680 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 363348040680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612579161700).

363348040680 is an abundant number, since it is smaller than the sum of its proper divisors (861810282720).

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

363348040680 is a wasteful number, since it uses less digits than its factorization.

363348040680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358625 (or 358612 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 363348040680 in words is "three hundred sixty-three billion, three hundred forty-eight million, forty thousand, six hundred eighty".