64351121760 has 192 divisors, whose sum is σ = 227943797760. Its totient is φ = 16953454080.

The previous prime is 64351121753. The next prime is 64351121801. The reversal of 64351121760 is 6712115346.

64351121760 is a `hidden beast` number, since 6 + 435 + 1 + 1 + 217 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268825 + ... + 448295.

It is an arithmetic number, because the mean of its divisors is an integer number (1187207280).

Almost surely, 2^64351121760 is an apocalyptic number.

64351121760 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 64351121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113971898880).

64351121760 is an abundant number, since it is smaller than the sum of its proper divisors (163592676000).

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

64351121760 is a wasteful number, since it uses less digits than its factorization.

64351121760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179578 (or 179564 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 64351121760 in words is "sixty-four billion, three hundred fifty-one million, one hundred twenty-one thousand, seven hundred sixty".