961650727200 has 1008 divisors, whose sum is σ = 3720880348416. Its totient is φ = 242200627200.

The previous prime is 961650727199. The next prime is 961650727207. The reversal of 961650727200 is 2727056169.

961650727200 is a `hidden beast` number, since 9 + 616 + 5 + 0 + 7 + 2 + 7 + 20 + 0 = 666.

It is a super-2 number, since 2×961650727200² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (961650727207) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 777404982 + ... + 777406218.

It is an arithmetic number, because the mean of its divisors is an integer number (3691349552).

Almost surely, 2^961650727200 is an apocalyptic number.

961650727200 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 961650727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860440174208).

961650727200 is an abundant number, since it is smaller than the sum of its proper divisors (2759229621216).

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

961650727200 is a wasteful number, since it uses less digits than its factorization.

961650727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 961650727200 in words is "nine hundred sixty-one billion, six hundred fifty million, seven hundred twenty-seven thousand, two hundred".