65724285006 has 80 divisors (see below), whose sum is σ = 152332224000. Its totient is φ = 21158087760.

The previous prime is 65724284903. The next prime is 65724285019. The reversal of 65724285006 is 60058242756.

65724285006 is a `hidden beast` number, since 6 + 572 + 4 + 28 + 50 + 0 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 2492865 + ... + 2519091.

It is an arithmetic number, because the mean of its divisors is an integer number (1904152800).

Almost surely, 2^65724285006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65724285006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76166112000).

65724285006 is an abundant number, since it is smaller than the sum of its proper divisors (86607938994).

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

65724285006 is a wasteful number, since it uses less digits than its factorization.

65724285006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26771 (or 26762 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 65724285006 in words is "sixty-five billion, seven hundred twenty-four million, two hundred eighty-five thousand, six".