969200640000 has 1680 divisors, whose sum is σ = 3912236808480. Its totient is φ = 238878720000.

The previous prime is 969200639993. The next prime is 969200640013. The reversal of 969200640000 is 46002969.

969200640000 is a `hidden beast` number, since 9 + 6 + 9 + 2 + 0 + 0 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 23639039980 + ... + 23639040020.

It is an arithmetic number, because the mean of its divisors is an integer number (2328712386).

Almost surely, 2^969200640000 is an apocalyptic number.

969200640000 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 969200640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956118404240).

969200640000 is an abundant number, since it is smaller than the sum of its proper divisors (2943036168480).

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

969200640000 is an frugal number, since it uses more digits than its factorization.

969200640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 969200640000 its reverse (46002969), we get a palindrome (969246642969).

The spelling of 969200640000 in words is "nine hundred sixty-nine billion, two hundred million, six hundred forty thousand".