961963075080 has 512 divisors, whose sum is σ = 4014002304000. Its totient is φ = 199806566400.

The previous prime is 961963075049. The next prime is 961963075081. The reversal of 961963075080 is 80570369169.

961963075080 is a `hidden beast` number, since 96 + 19 + 6 + 30 + 7 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (961963075081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3598030 + ... + 3856130.

It is an arithmetic number, because the mean of its divisors is an integer number (7839848250).

Almost surely, 2^961963075080 is an apocalyptic number.

961963075080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961963075080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007001152000).

961963075080 is an abundant number, since it is smaller than the sum of its proper divisors (3052039228920).

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

961963075080 is a wasteful number, since it uses less digits than its factorization.

961963075080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258174 (or 258164 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 961963075080 in words is "nine hundred sixty-one billion, nine hundred sixty-three million, seventy-five thousand, eighty".