969876364800 has 1440 divisors, whose sum is σ = 3955176352512. Its totient is φ = 208461496320.

The previous prime is 969876364789. The next prime is 969876364837. The reversal of 969876364800 is 8463678969.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3159206247 + ... + 3159206553.

Almost surely, 2^969876364800 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 969876364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977588176256).

969876364800 is an abundant number, since it is smaller than the sum of its proper divisors (2985299987712).

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

969876364800 is a wasteful number, since it uses less digits than its factorization.

969876364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 969876364800 in words is "nine hundred sixty-nine billion, eight hundred seventy-six million, three hundred sixty-four thousand, eight hundred".