64513013760 has 960 divisors, whose sum is σ = 258386768640. Its totient is φ = 15288238080.

The previous prime is 64513013731. The next prime is 64513013767. The reversal of 64513013760 is 6731031546.

64513013760 is a `hidden beast` number, since 6 + 4 + 513 + 0 + 137 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64513013767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 334264224 + ... + 334264416.

It is an arithmetic number, because the mean of its divisors is an integer number (269152884).

Almost surely, 2^64513013760 is an apocalyptic number.

64513013760 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 64513013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129193384320).

64513013760 is an abundant number, since it is smaller than the sum of its proper divisors (193873754880).

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

64513013760 is a wasteful number, since it uses less digits than its factorization.

64513013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 64513013760 in words is "sixty-four billion, five hundred thirteen million, thirteen thousand, seven hundred sixty".