350946779742720 has 1920 divisors, whose sum is σ = 1528858146816000. Its totient is φ = 75318842621952.

The previous prime is 350946779742683. The next prime is 350946779742751. The reversal of 350946779742720 is 27247977649053.

350946779742720 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 46 + 77 + 97 + 427 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32498075881 + ... + 32498086679.

It is an arithmetic number, because the mean of its divisors is an integer number (796280284800).

Almost surely, 2^{350946779742720} is an apocalyptic number.

350946779742720 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 350946779742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764429073408000).

350946779742720 is an abundant number, since it is smaller than the sum of its proper divisors (1177911367073280).

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

350946779742720 is a wasteful number, since it uses less digits than its factorization.

350946779742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11300 (or 11272 counting only the distinct ones).

The product of its (nonzero) digits is 1120210560, while the sum is 72.

The spelling of 350946779742720 in words is "three hundred fifty trillion, nine hundred forty-six billion, seven hundred seventy-nine million, seven hundred forty-two thousand, seven hundred twenty".