69021000460960 has 384 divisors, whose sum is σ = 174590126161920. Its totient is φ = 25728275865600.

The previous prime is 69021000460933. The next prime is 69021000460963. The reversal of 69021000460960 is 6906400012096.

It is a happy number.

69021000460960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (69021000460963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11653044559 + ... + 11653050481.

It is an arithmetic number, because the mean of its divisors is an integer number (454661786880).

Almost surely, 2^{69021000460960} 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 69021000460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87295063080960).

69021000460960 is an abundant number, since it is smaller than the sum of its proper divisors (105569125700960).

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

69021000460960 is a wasteful number, since it uses less digits than its factorization.

69021000460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 69021000460960 in words is "sixty-nine trillion, twenty-one billion, four hundred sixty thousand, nine hundred sixty".