2007643623321 has 32 divisors (see below), whose sum is σ = 3265636608000. Its totient is φ = 1071536981760.

The previous prime is 2007643623203. The next prime is 2007643623341. The reversal of 2007643623321 is 1233263467002.

It is not a de Polignac number, because 2007643623321 - 2²¹ = 2007641526169 is a prime.

It is a super-2 number, since 2×2007643623321² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2007643623321.

It is not an unprimeable number, because it can be changed into a prime (2007643623341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35406096 + ... + 35462753.

It is an arithmetic number, because the mean of its divisors is an integer number (102051144000).

Almost surely, 2^{2007643623321} is an apocalyptic number.

2007643623321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2007643623321 is a deficient number, since it is larger than the sum of its proper divisors (1257992984679).

2007643623321 is a wasteful number, since it uses less digits than its factorization.

2007643623321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70868949.

The product of its (nonzero) digits is 217728, while the sum is 39.

The spelling of 2007643623321 in words is "two trillion, seven billion, six hundred forty-three million, six hundred twenty-three thousand, three hundred twenty-one".