961845964800 has 1248 divisors, whose sum is σ = 3906856945152. Its totient is φ = 203780259840.

The previous prime is 961845964777. The next prime is 961845964831. The reversal of 961845964800 is 8469548169.

961845964800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3034214242 + ... + 3034214558.

Almost surely, 2^961845964800 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 961845964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953428472576).

961845964800 is an abundant number, since it is smaller than the sum of its proper divisors (2945010980352).

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

961845964800 is a wasteful number, since it uses less digits than its factorization.

961845964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 961845964800 in words is "nine hundred sixty-one billion, eight hundred forty-five million, nine hundred sixty-four thousand, eight hundred".