10347907230720 has 440 divisors, whose sum is σ = 37308783696624. Its totient is φ = 2742494920704.

The previous prime is 10347907230677. The next prime is 10347907230721. The reversal of 10347907230720 is 2703270974301.

10347907230720 is a `hidden beast` number, since 1 + 0 + 347 + 9 + 0 + 7 + 230 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10347907230721) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 67522822 + ... + 67675898.

Almost surely, 2^{10347907230720} is an apocalyptic number.

10347907230720 is a gapful number since it is divisible by the number (10) 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 10347907230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18654391848312).

10347907230720 is an abundant number, since it is smaller than the sum of its proper divisors (26960876465904).

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

10347907230720 is a wasteful number, since it uses less digits than its factorization.

10347907230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153277 (or 153250 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 10347907230720 in words is "ten trillion, three hundred forty-seven billion, nine hundred seven million, two hundred thirty thousand, seven hundred twenty".