64318510080 has 880 divisors, whose sum is σ = 262793925504. Its totient is φ = 14890106880.

The previous prime is 64318510063. The next prime is 64318510129. The reversal of 64318510080 is 8001581346.

64318510080 is a `hidden beast` number, since 64 + 3 + 1 + 8 + 510 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×64318510080² (a number of 22 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 104923854 + ... + 104924466.

Almost surely, 2^64318510080 is an apocalyptic number.

64318510080 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 64318510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131396962752).

64318510080 is an abundant number, since it is smaller than the sum of its proper divisors (198475415424).

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

64318510080 is a wasteful number, since it uses less digits than its factorization.

64318510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 64318510080 in words is "sixty-four billion, three hundred eighteen million, five hundred ten thousand, eighty".