961777048704 has 512 divisors, whose sum is σ = 2827586880000. Its totient is φ = 288459325440.

The previous prime is 961777048699. The next prime is 961777048709. The reversal of 961777048704 is 407840777169.

961777048704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (961777048699) and next prime (961777048709).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (961777048709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4199899662 + ... + 4199899890.

It is an arithmetic number, because the mean of its divisors is an integer number (5522630625).

Almost surely, 2^961777048704 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 961777048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413793440000).

961777048704 is an abundant number, since it is smaller than the sum of its proper divisors (1865809831296).

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

961777048704 is a wasteful number, since it uses less digits than its factorization.

961777048704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 60.

The spelling of 961777048704 in words is "nine hundred sixty-one billion, seven hundred seventy-seven million, forty-eight thousand, seven hundred four".