65945728800 has 1728 divisors, whose sum is σ = 300280780800. Its totient is φ = 14082647040.

The previous prime is 65945728787. The next prime is 65945728841. The reversal of 65945728800 is 882754956.

65945728800 is a `hidden beast` number, since 65 + 9 + 4 + 572 + 8 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1533621579 + ... + 1533621621.

It is an arithmetic number, because the mean of its divisors is an integer number (173773600).

Almost surely, 2^65945728800 is an apocalyptic number.

65945728800 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 65945728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150140390400).

65945728800 is an abundant number, since it is smaller than the sum of its proper divisors (234335052000).

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

65945728800 is a wasteful number, since it uses less digits than its factorization.

65945728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 65945728800 in words is "sixty-five billion, nine hundred forty-five million, seven hundred twenty-eight thousand, eight hundred".