65963406136320 has 4928 divisors, whose sum is σ = 327356946395136. Its totient is φ = 12318497832960.

The previous prime is 65963406136213. The next prime is 65963406136361. The reversal of 65963406136320 is 2363160436956.

65963406136320 is a `hidden beast` number, since 6 + 596 + 3 + 4 + 0 + 6 + 13 + 6 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4928).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 112373775067 + ... + 112373775653.

Almost surely, 2^{65963406136320} is an apocalyptic number.

65963406136320 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 65963406136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163678473197568).

65963406136320 is an abundant number, since it is smaller than the sum of its proper divisors (261393540258816).

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

65963406136320 is a wasteful number, since it uses less digits than its factorization.

65963406136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 65963406136320 in words is "sixty-five trillion, nine hundred sixty-three billion, four hundred six million, one hundred thirty-six thousand, three hundred twenty".