65232393984 has 288 divisors, whose sum is σ = 200288289600. Its totient is φ = 20917370880.

The previous prime is 65232393977. The next prime is 65232393991. The reversal of 65232393984 is 48939323256.

It is a happy number.

65232393984 is a `hidden beast` number, since 6 + 523 + 2 + 3 + 9 + 39 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (65232393977) and next prime (65232393991).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 65232393984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84388222 + ... + 84388994.

It is an arithmetic number, because the mean of its divisors is an integer number (695445450).

Almost surely, 2^65232393984 is an apocalyptic number.

65232393984 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 65232393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100144144800).

65232393984 is an abundant number, since it is smaller than the sum of its proper divisors (135055895616).

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

65232393984 is a wasteful number, since it uses less digits than its factorization.

65232393984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1228 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 65232393984 in words is "sixty-five billion, two hundred thirty-two million, three hundred ninety-three thousand, nine hundred eighty-four".