65689952328 has 1152 divisors, whose sum is σ = 261424800000. Its totient is φ = 14753249280.

The previous prime is 65689952269. The next prime is 65689952369. The reversal of 65689952328 is 82325998656.

65689952328 is a `hidden beast` number, since 6 + 5 + 6 + 89 + 9 + 523 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (55987200) is a multiple of the sum of its prime divisors (144).

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, 738089308 + ... + 738089396.

It is an arithmetic number, because the mean of its divisors is an integer number (226931250).

Almost surely, 2^65689952328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65689952328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400000).

65689952328 is an abundant number, since it is smaller than the sum of its proper divisors (195734847672).

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

65689952328 is a wasteful number, since it uses less digits than its factorization.

65689952328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 65689952328 in words is "sixty-five billion, six hundred eighty-nine million, nine hundred fifty-two thousand, three hundred twenty-eight".