65961688320 has 648 divisors, whose sum is σ = 254453472000. Its totient is φ = 15761940480.

The previous prime is 65961688291. The next prime is 65961688349. The reversal of 65961688320 is 2388616956.

It is a happy number.

65961688320 is a `hidden beast` number, since 6 + 596 + 16 + 8 + 8 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65961688291) and next prime (65961688349).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110119381 + ... + 110119979.

Almost surely, 2^65961688320 is an apocalyptic number.

65961688320 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 65961688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127226736000).

65961688320 is an abundant number, since it is smaller than the sum of its proper divisors (188491783680).

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

65961688320 is a wasteful number, since it uses less digits than its factorization.

65961688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 65961688320 in words is "sixty-five billion, nine hundred sixty-one million, six hundred eighty-eight thousand, three hundred twenty".