64568741760 has 640 divisors, whose sum is σ = 250245404640. Its totient is φ = 15801384960.

The previous prime is 64568741723. The next prime is 64568741767. The reversal of 64568741760 is 6714786546.

64568741760 is a `hidden beast` number, since 6 + 4 + 568 + 7 + 4 + 1 + 76 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 64568741697 and 64568741706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64568741767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36131587 + ... + 36133373.

Almost surely, 2^64568741760 is an apocalyptic number.

64568741760 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 64568741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125122702320).

64568741760 is an abundant number, since it is smaller than the sum of its proper divisors (185676662880).

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

64568741760 is a wasteful number, since it uses less digits than its factorization.

64568741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 64568741760 in words is "sixty-four billion, five hundred sixty-eight million, seven hundred forty-one thousand, seven hundred sixty".