65006558784 has 168 divisors, whose sum is σ = 194938668288. Its totient is φ = 20690196480.

The previous prime is 65006558767. The next prime is 65006558819. The reversal of 65006558784 is 48785560056.

65006558784 is a `hidden beast` number, since 6 + 5 + 0 + 0 + 6 + 558 + 7 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 65006558784.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080669 + ... + 1139235.

It is an arithmetic number, because the mean of its divisors is an integer number (1160349216).

Almost surely, 2^65006558784 is an apocalyptic number.

65006558784 is a gapful number since it is divisible by the number (64) 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 65006558784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97469334144).

65006558784 is an abundant number, since it is smaller than the sum of its proper divisors (129932109504).

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

65006558784 is a wasteful number, since it uses less digits than its factorization.

65006558784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58673 (or 58660 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 65006558784 in words is "sixty-five billion, six million, five hundred fifty-eight thousand, seven hundred eighty-four".