65314632960 has 288 divisors, whose sum is σ = 232239934080. Its totient is φ = 17382408192.

The previous prime is 65314632953. The next prime is 65314633067. The reversal of 65314632960 is 6923641356.

65314632960 is a `hidden beast` number, since 6 + 5 + 3 + 1 + 4 + 632 + 9 + 6 + 0 = 666.

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 (45).

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, 20492487 + ... + 20495673.

It is an arithmetic number, because the mean of its divisors is an integer number (806388660).

Almost surely, 2^65314632960 is an apocalyptic number.

65314632960 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 65314632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116119967040).

65314632960 is an abundant number, since it is smaller than the sum of its proper divisors (166925301120).

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

65314632960 is a wasteful number, since it uses less digits than its factorization.

65314632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 65314632960 in words is "sixty-five billion, three hundred fourteen million, six hundred thirty-two thousand, nine hundred sixty".