17879290544640 has 640 divisors, whose sum is σ = 69013857116160. Its totient is φ = 3861805989888.

The previous prime is 17879290544623. The next prime is 17879290544641. The reversal of 17879290544640 is 4644509297871.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (17879290544641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73152879 + ... + 73396881.

It is an arithmetic number, because the mean of its divisors is an integer number (107834151744).

Almost surely, 2^{17879290544640} is an apocalyptic number.

17879290544640 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 17879290544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34506928558080).

17879290544640 is an abundant number, since it is smaller than the sum of its proper divisors (51134566571520).

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

17879290544640 is a wasteful number, since it uses less digits than its factorization.

17879290544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244112 (or 244096 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 17879290544640 in words is "seventeen trillion, eight hundred seventy-nine billion, two hundred ninety million, five hundred forty-four thousand, six hundred forty".