351720260640 has 288 divisors, whose sum is σ = 1422514154880. Its totient is φ = 80393140224.

The previous prime is 351720260623. The next prime is 351720260687. The reversal of 351720260640 is 46062027153.

351720260640 is a `hidden beast` number, since 3 + 5 + 1 + 7 + 2 + 0 + 2 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 351720260595 and 351720260604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374005 + ... + 918324.

It is an arithmetic number, because the mean of its divisors is an integer number (4939285260).

Almost surely, 2^351720260640 is an apocalyptic number.

351720260640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351720260640 is an abundant number, since it is smaller than the sum of its proper divisors (1070793894240).

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

351720260640 is a wasteful number, since it uses less digits than its factorization.

351720260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292366 (or 1292346 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 351720260640 its reverse (46062027153), we get a palindrome (397782287793).

The spelling of 351720260640 in words is "three hundred fifty-one billion, seven hundred twenty million, two hundred sixty thousand, six hundred forty".