69084025920 has 504 divisors, whose sum is σ = 297686038104. Its totient is φ = 14575583232.

The previous prime is 69084025919. The next prime is 69084025981. The reversal of 69084025920 is 2952048096.

It can be written as a sum of positive squares in 4 ways, for example, as 5664669696 + 63419356224 = 75264^2 + 251832^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1815732 + ... + 1853388.

It is an arithmetic number, because the mean of its divisors is an integer number (590646901).

Almost surely, 2^69084025920 is an apocalyptic number.

69084025920 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 69084025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148843019052).

69084025920 is an abundant number, since it is smaller than the sum of its proper divisors (228602012184).

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

69084025920 is a wasteful number, since it uses less digits than its factorization.

69084025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37707 (or 37687 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 69084025920 in words is "sixty-nine billion, eighty-four million, twenty-five thousand, nine hundred twenty".