350863928640 has 1008 divisors, whose sum is σ = 1369576615680. Its totient is φ = 85384212480.

The previous prime is 350863928633. The next prime is 350863928641. The reversal of 350863928640 is 46829368053.

350863928640 is a `hidden beast` number, since 3 + 508 + 6 + 3 + 92 + 8 + 6 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350863928641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 814069225 + ... + 814069655.

It is an arithmetic number, because the mean of its divisors is an integer number (1358706960).

Almost surely, 2^350863928640 is an apocalyptic number.

350863928640 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 350863928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684788307840).

350863928640 is an abundant number, since it is smaller than the sum of its proper divisors (1018712687040).

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

350863928640 is a wasteful number, since it uses less digits than its factorization.

350863928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 350863928640 in words is "three hundred fifty billion, eight hundred sixty-three million, nine hundred twenty-eight thousand, six hundred forty".