69120406368 has 288 divisors, whose sum is σ = 223176425472. Its totient is φ = 20142259200.

The previous prime is 69120406363. The next prime is 69120406391. The reversal of 69120406368 is 86360402196.

69120406368 is a `hidden beast` number, since 6 + 9 + 1 + 2 + 0 + 4 + 0 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69120406361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5448673 + ... + 5461343.

It is an arithmetic number, because the mean of its divisors is an integer number (774918144).

Almost surely, 2^69120406368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69120406368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111588212736).

69120406368 is an abundant number, since it is smaller than the sum of its proper divisors (154056019104).

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

69120406368 is a wasteful number, since it uses less digits than its factorization.

69120406368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12778 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 69120406368 in words is "sixty-nine billion, one hundred twenty million, four hundred six thousand, three hundred sixty-eight".