969938409600 has 768 divisors, whose sum is σ = 3790514534400. Its totient is φ = 241629696000.

The previous prime is 969938409593. The next prime is 969938409641. The reversal of 969938409600 is 6904839969.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 85443925 + ... + 85455275.

It is an arithmetic number, because the mean of its divisors is an integer number (4935565800).

Almost surely, 2^969938409600 is an apocalyptic number.

969938409600 is a gapful number since it is divisible by the number (90) 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 969938409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895257267200).

969938409600 is an abundant number, since it is smaller than the sum of its proper divisors (2820576124800).

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

969938409600 is a wasteful number, since it uses less digits than its factorization.

969938409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11450 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 969938409600 in words is "nine hundred sixty-nine billion, nine hundred thirty-eight million, four hundred nine thousand, six hundred".