80640693760 has 320 divisors, whose sum is σ = 231715883520. Its totient is φ = 26568622080.

The previous prime is 80640693743. The next prime is 80640693767. The reversal of 80640693760 is 6739604608.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80640693767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12302644 + ... + 12309196.

It is an arithmetic number, because the mean of its divisors is an integer number (724112136).

Almost surely, 2^80640693760 is an apocalyptic number.

80640693760 is a gapful number since it is divisible by the number (80) 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 80640693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115857941760).

80640693760 is an abundant number, since it is smaller than the sum of its proper divisors (151075189760).

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

80640693760 is a wasteful number, since it uses less digits than its factorization.

80640693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

It can be divided in two parts, 80640 and 693760, that added together give a square (774400 = 880²).

The spelling of 80640693760 in words is "eighty billion, six hundred forty million, six hundred ninety-three thousand, seven hundred sixty".