969843672000 has 1344 divisors, whose sum is σ = 4237434938880. Its totient is φ = 216421632000.

The previous prime is 969843671999. The next prime is 969843672053. The reversal of 969843672000 is 276348969.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 455110935 + ... + 455113065.

Almost surely, 2^969843672000 is an apocalyptic number.

969843672000 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 969843672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118717469440).

969843672000 is an abundant number, since it is smaller than the sum of its proper divisors (3267591266880).

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

969843672000 is a wasteful number, since it uses less digits than its factorization.

969843672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 969843672000 in words is "nine hundred sixty-nine billion, eight hundred forty-three million, six hundred seventy-two thousand".