64076189368320 has 768 divisors, whose sum is σ = 224642621998080. Its totient is φ = 16894522294272.

The previous prime is 64076189368241. The next prime is 64076189368337. The reversal of 64076189368320 is 2386398167046.

64076189368320 is a `hidden beast` number, since 6 + 4 + 0 + 7 + 618 + 9 + 3 + 6 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108054281944 + ... + 108054282536.

It is an arithmetic number, because the mean of its divisors is an integer number (292503414060).

Almost surely, 2^{64076189368320} is an apocalyptic number.

64076189368320 is a gapful number since it is divisible by the number (60) 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 64076189368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112321310999040).

64076189368320 is an abundant number, since it is smaller than the sum of its proper divisors (160566432629760).

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

64076189368320 is a wasteful number, since it uses less digits than its factorization.

64076189368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 64076189368320 in words is "sixty-four trillion, seventy-six billion, one hundred eighty-nine million, three hundred sixty-eight thousand, three hundred twenty".