69852007680 has 1152 divisors, whose sum is σ = 291251358720. Its totient is φ = 13872660480.

The previous prime is 69852007669. The next prime is 69852007681. The reversal of 69852007680 is 8670025896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69852007681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 618159304 + ... + 618159416.

It is an arithmetic number, because the mean of its divisors is an integer number (252822360).

Almost surely, 2^69852007680 is an apocalyptic number.

69852007680 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 69852007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145625679360).

69852007680 is an abundant number, since it is smaller than the sum of its proper divisors (221399351040).

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

69852007680 is a wasteful number, since it uses less digits than its factorization.

69852007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 69852007680 in words is "sixty-nine billion, eight hundred fifty-two million, seven thousand, six hundred eighty".