65967403985280 has 1280 divisors, whose sum is σ = 286677211392000. Its totient is φ = 14422597668864.

The previous prime is 65967403985209. The next prime is 65967403985297. The reversal of 65967403985280 is 8258930476956.

It is a happy number.

65967403985280 is a `hidden beast` number, since 6 + 5 + 9 + 6 + 7 + 4 + 0 + 3 + 98 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 65967403985199 and 65967403985208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 408885109 + ... + 409046411.

It is an arithmetic number, because the mean of its divisors is an integer number (223966571400).

Almost surely, 2^{65967403985280} is an apocalyptic number.

65967403985280 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 65967403985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143338605696000).

65967403985280 is an abundant number, since it is smaller than the sum of its proper divisors (220709807406720).

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

65967403985280 is a wasteful number, since it uses less digits than its factorization.

65967403985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161378 (or 161343 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 65967403985280 in words is "sixty-five trillion, nine hundred sixty-seven billion, four hundred three million, nine hundred eighty-five thousand, two hundred eighty".