65679089623680 has 768 divisors, whose sum is σ = 245789424316800. Its totient is φ = 14788020731904.

The previous prime is 65679089623673. The next prime is 65679089623687. The reversal of 65679089623680 is 8632698097656.

It is an interprime number because it is at equal distance from previous prime (65679089623673) and next prime (65679089623687).

It is not an unprimeable number, because it can be changed into a prime (65679089623687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398753502 + ... + 398918178.

Almost surely, 2^{65679089623680} is an apocalyptic number.

65679089623680 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 65679089623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122894712158400).

65679089623680 is an abundant number, since it is smaller than the sum of its proper divisors (180110334693120).

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

65679089623680 is a wasteful number, since it uses less digits than its factorization.

65679089623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164789 (or 164748 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 75.

The spelling of 65679089623680 in words is "sixty-five trillion, six hundred seventy-nine billion, eighty-nine million, six hundred twenty-three thousand, six hundred eighty".