245067884640 has 720 divisors, whose sum is σ = 935168295600. Its totient is φ = 60410216448.

The previous prime is 245067884609. The next prime is 245067884773. The reversal of 245067884640 is 46488760542.

It is a happy number.

245067884640 is a `hidden beast` number, since 2 + 4 + 506 + 78 + 8 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 220980406 + ... + 220981514.

It is an arithmetic number, because the mean of its divisors is an integer number (1298844855).

Almost surely, 2^245067884640 is an apocalyptic number.

245067884640 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 245067884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467584147800).

245067884640 is an abundant number, since it is smaller than the sum of its proper divisors (690100410960).

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

245067884640 is a wasteful number, since it uses less digits than its factorization.

245067884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 245067884640 in words is "two hundred forty-five billion, sixty-seven million, eight hundred eighty-four thousand, six hundred forty".