64864544741568 has 896 divisors, whose sum is σ = 226110420910080. Its totient is φ = 17975623680000.

The previous prime is 64864544741551. The next prime is 64864544741609. The reversal of 64864544741568 is 86514744546846.

64864544741568 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 4 + 54 + 4 + 7 + 4 + 1 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 64864544741496 and 64864544741505.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37690030948 + ... + 37690032668.

It is an arithmetic number, because the mean of its divisors is an integer number (252355380480).

Almost surely, 2^{64864544741568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64864544741568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113055210455040).

64864544741568 is an abundant number, since it is smaller than the sum of its proper divisors (161245876168512).

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

64864544741568 is a wasteful number, since it uses less digits than its factorization.

64864544741568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3078 counting only the distinct ones).

The product of its digits is 2477260800, while the sum is 72.

The spelling of 64864544741568 in words is "sixty-four trillion, eight hundred sixty-four billion, five hundred forty-four million, seven hundred forty-one thousand, five hundred sixty-eight".