69781835008080 has 720 divisors, whose sum is σ = 267313598959680. Its totient is φ = 16261238882304.

The previous prime is 69781835008063. The next prime is 69781835008139. The reversal of 69781835008080 is 8080053818796.

69781835008080 is a `hidden beast` number, since 69 + 78 + 1 + 8 + 350 + 0 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 69781835007999 and 69781835008017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3428567184 + ... + 3428587536.

It is an arithmetic number, because the mean of its divisors is an integer number (371268887444).

Almost surely, 2^{69781835008080} is an apocalyptic number.

69781835008080 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 69781835008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133656799479840).

69781835008080 is an abundant number, since it is smaller than the sum of its proper divisors (197531763951600).

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

69781835008080 is a wasteful number, since it uses less digits than its factorization.

69781835008080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21900 (or 21878 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 69781835008080 in words is "sixty-nine trillion, seven hundred eighty-one billion, eight hundred thirty-five million, eight thousand, eighty".