961646426400 has 576 divisors, whose sum is σ = 3544636878720. Its totient is φ = 224312524800.

The previous prime is 961646426357. The next prime is 961646426459. The reversal of 961646426400 is 4624646169.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 961646426400.

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, 239630794 + ... + 239634806.

It is an arithmetic number, because the mean of its divisors is an integer number (6153883470).

Almost surely, 2^961646426400 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 961646426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772318439360).

961646426400 is an abundant number, since it is smaller than the sum of its proper divisors (2582990452320).

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

961646426400 is a wasteful number, since it uses less digits than its factorization.

961646426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 961646426400 in words is "nine hundred sixty-one billion, six hundred forty-six million, four hundred twenty-six thousand, four hundred".