64753706880 has 768 divisors, whose sum is σ = 248181373440. Its totient is φ = 16094453760.

The previous prime is 64753706873. The next prime is 64753706881. The reversal of 64753706880 is 8860735746.

64753706880 is a `hidden beast` number, since 6 + 47 + 537 + 0 + 68 + 8 + 0 = 666.

64753706880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64753706881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153809070 + ... + 153809490.

It is an arithmetic number, because the mean of its divisors is an integer number (323152830).

Almost surely, 2^64753706880 is an apocalyptic number.

64753706880 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 64753706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124090686720).

64753706880 is an abundant number, since it is smaller than the sum of its proper divisors (183427666560).

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

64753706880 is a wasteful number, since it uses less digits than its factorization.

64753706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 64753706880 in words is "sixty-four billion, seven hundred fifty-three million, seven hundred six thousand, eight hundred eighty".