64636727760 has 640 divisors, whose sum is σ = 259597670400. Its totient is φ = 14616391680.

The previous prime is 64636727747. The next prime is 64636727761. The reversal of 64636727760 is 6772763646.

It is a happy number.

64636727760 is a `hidden beast` number, since 6 + 4 + 6 + 367 + 277 + 6 + 0 = 666.

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 = 64636727697 and 64636727706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64636727761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30245412 + ... + 30247548.

It is an arithmetic number, because the mean of its divisors is an integer number (405621360).

Almost surely, 2^64636727760 is an apocalyptic number.

64636727760 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 64636727760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129798835200).

64636727760 is an abundant number, since it is smaller than the sum of its proper divisors (194960942640).

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

64636727760 is a wasteful number, since it uses less digits than its factorization.

64636727760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 64636727760 in words is "sixty-four billion, six hundred thirty-six million, seven hundred twenty-seven thousand, seven hundred sixty".