65945214720 has 576 divisors, whose sum is σ = 291769390080. Its totient is φ = 13702348800.

The previous prime is 65945214719. The next prime is 65945214733. The reversal of 65945214720 is 2741254956.

65945214720 is a `hidden beast` number, since 6 + 59 + 4 + 521 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2648730 + ... + 2673510.

It is an arithmetic number, because the mean of its divisors is an integer number (506544080).

Almost surely, 2^65945214720 is an apocalyptic number.

65945214720 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 65945214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145884695040).

65945214720 is an abundant number, since it is smaller than the sum of its proper divisors (225824175360).

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

65945214720 is a wasteful number, since it uses less digits than its factorization.

65945214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24829 (or 24809 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 65945214720 in words is "sixty-five billion, nine hundred forty-five million, two hundred fourteen thousand, seven hundred twenty".