10009640068290 has 48 divisors (see below), whose sum is σ = 26052372967608. Its totient is φ = 2666436450048.

The previous prime is 10009640068283. The next prime is 10009640068313. The reversal of 10009640068290 is 9286004690001.

It is a happy number.

10009640068290 is a `hidden beast` number, since 10 + 0 + 0 + 96 + 400 + 68 + 2 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7855693445601 + 2153946622689 = 2802801^2 + 1467633^2 .

It is a super-3 number, since 3×10009640068290³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 58265869 + ... + 58437408.

Almost surely, 2^{10009640068290} is an apocalyptic number.

10009640068290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10009640068290 is an abundant number, since it is smaller than the sum of its proper divisors (16042732899318).

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

10009640068290 is a wasteful number, since it uses less digits than its factorization.

10009640068290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116704243 (or 116704240 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10009640068290 in words is "ten trillion, nine billion, six hundred forty million, sixty-eight thousand, two hundred ninety".