245576186768640 has 1728 divisors, whose sum is σ = 1016568298077696. Its totient is φ = 49194266001408.

The previous prime is 245576186768581. The next prime is 245576186768641. The reversal of 245576186768640 is 46867681675542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245576186768641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25324960272 + ... + 25324969968.

Almost surely, 2^{245576186768640} is an apocalyptic number.

245576186768640 is a gapful number since it is divisible by the number (20) 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 245576186768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508284149038848).

245576186768640 is an abundant number, since it is smaller than the sum of its proper divisors (770992111309056).

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

245576186768640 is a wasteful number, since it uses less digits than its factorization.

245576186768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9924 (or 9887 counting only the distinct ones).

The product of its (nonzero) digits is 3251404800, while the sum is 75.

The spelling of 245576186768640 in words is "two hundred forty-five trillion, five hundred seventy-six billion, one hundred eighty-six million, seven hundred sixty-eight thousand, six hundred forty".