961766208000 has 1920 divisors, whose sum is σ = 3987299796480. Its totient is φ = 221095526400.

The previous prime is 961766207977. The next prime is 961766208107. The reversal of 961766208000 is 802667169.

961766208000 is a `hidden beast` number, since 9 + 6 + 17 + 6 + 620 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9337535949 + ... + 9337536051.

It is an arithmetic number, because the mean of its divisors is an integer number (2076718644).

Almost surely, 2^961766208000 is an apocalyptic number.

961766208000 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 961766208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993649898240).

961766208000 is an abundant number, since it is smaller than the sum of its proper divisors (3025533588480).

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

961766208000 is a wasteful number, since it uses less digits than its factorization.

961766208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 961766208000 in words is "nine hundred sixty-one billion, seven hundred sixty-six million, two hundred eight thousand".