64724002560 has 720 divisors, whose sum is σ = 266492599296. Its totient is φ = 14753746944.

The previous prime is 64724002513. The next prime is 64724002597. The reversal of 64724002560 is 6520042746.

64724002560 is a `hidden beast` number, since 647 + 2 + 4 + 0 + 0 + 2 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 176359497 + ... + 176359863.

Almost surely, 2^64724002560 is an apocalyptic number.

64724002560 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 64724002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133246299648).

64724002560 is an abundant number, since it is smaller than the sum of its proper divisors (201768596736).

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

64724002560 is an frugal number, since it uses more digits than its factorization.

64724002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 64724002560 in words is "sixty-four billion, seven hundred twenty-four million, two thousand, five hundred sixty".