65984616000 has 1344 divisors, whose sum is σ = 270594514944. Its totient is φ = 15261696000.

The previous prime is 65984615999. The next prime is 65984616001. The reversal of 65984616000 is 61648956.

65984616000 is a `hidden beast` number, since 6 + 598 + 46 + 16 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65984615999) and next prime (65984616001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65984616001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1403927977 + ... + 1403928023.

Almost surely, 2^65984616000 is an apocalyptic number.

65984616000 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 65984616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135297257472).

65984616000 is an abundant number, since it is smaller than the sum of its proper divisors (204609898944).

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

65984616000 is a wasteful number, since it uses less digits than its factorization.

65984616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 65984616000 in words is "sixty-five billion, nine hundred eighty-four million, six hundred sixteen thousand".