963472353133320 has 256 divisors, whose sum is σ = 3402214298784000. Its totient is φ = 241690099027968.

The previous prime is 963472353133307. The next prime is 963472353133321. The reversal of 963472353133320 is 23331353274369.

963472353133320 is a `hidden beast` number, since 9 + 6 + 3 + 4 + 72 + 3 + 531 + 3 + 3 + 32 + 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 (963472353133321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22925571 + ... + 49522989.

It is an arithmetic number, because the mean of its divisors is an integer number (13289899604625).

Almost surely, 2^{963472353133320} is an apocalyptic number.

963472353133320 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 963472353133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701107149392000).

963472353133320 is an abundant number, since it is smaller than the sum of its proper divisors (2438741945650680).

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

963472353133320 is a wasteful number, since it uses less digits than its factorization.

963472353133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26599429 (or 26599419 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 54.

The spelling of 963472353133320 in words is "nine hundred sixty-three trillion, four hundred seventy-two billion, three hundred fifty-three million, one hundred thirty-three thousand, three hundred twenty".