961934566320 has 1920 divisors, whose sum is σ = 4303842036480. Its totient is φ = 195641671680.

The previous prime is 961934566319. The next prime is 961934566321. The reversal of 961934566320 is 23665439169.

961934566320 is a `hidden beast` number, since 9 + 6 + 19 + 34 + 566 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (961934566319) and next prime (961934566321).

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 (961934566321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6126971682 + ... + 6126971838.

It is an arithmetic number, because the mean of its divisors is an integer number (2241584394).

Almost surely, 2^961934566320 is an apocalyptic number.

961934566320 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 961934566320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151921018240).

961934566320 is an abundant number, since it is smaller than the sum of its proper divisors (3341907470160).

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

961934566320 is a wasteful number, since it uses less digits than its factorization.

961934566320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 961934566320 in words is "nine hundred sixty-one billion, nine hundred thirty-four million, five hundred sixty-six thousand, three hundred twenty".