64993824720 has 480 divisors, whose sum is σ = 253292966784. Its totient is φ = 14760345600.

The previous prime is 64993824713. The next prime is 64993824739. The reversal of 64993824720 is 2742839946.

64993824720 is a `hidden beast` number, since 6 + 4 + 9 + 93 + 82 + 472 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32447239 + ... + 32449241.

Almost surely, 2^64993824720 is an apocalyptic number.

64993824720 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 64993824720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126646483392).

64993824720 is an abundant number, since it is smaller than the sum of its proper divisors (188299142064).

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

64993824720 is a wasteful number, since it uses less digits than its factorization.

64993824720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 64993824720 in words is "sixty-four billion, nine hundred ninety-three million, eight hundred twenty-four thousand, seven hundred twenty".