961334779977 has 240 divisors, whose sum is σ = 1739944261440. Its totient is φ = 525276576000.

The previous prime is 961334779969. The next prime is 961334779987. The reversal of 961334779977 is 779977433169.

961334779977 is a `hidden beast` number, since 9 + 61 + 3 + 3 + 477 + 9 + 97 + 7 = 666.

It is not a de Polignac number, because 961334779977 - 2³ = 961334779969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (961334779907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1391222202 + ... + 1391222892.

It is an arithmetic number, because the mean of its divisors is an integer number (7249767756).

Almost surely, 2^961334779977 is an apocalyptic number.

It is an amenable number.

961334779977 is a deficient number, since it is larger than the sum of its proper divisors (778609481463).

961334779977 is a wasteful number, since it uses less digits than its factorization.

961334779977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 958 counting only the distinct ones).

The product of its digits is 378071064, while the sum is 72.

The spelling of 961334779977 in words is "nine hundred sixty-one billion, three hundred thirty-four million, seven hundred seventy-nine thousand, nine hundred seventy-seven".