963113471627940 has 432 divisors, whose sum is σ = 3127974914203776. Its totient is φ = 239792412441600.

The previous prime is 963113471627939. The next prime is 963113471627947. The reversal of 963113471627940 is 49726174311369.

963113471627940 is a `hidden beast` number, since 9 + 6 + 3 + 1 + 1 + 347 + 16 + 279 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (963113471627947) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6123831505 + ... + 6123988775.

It is an arithmetic number, because the mean of its divisors is an integer number (7240682671768).

Almost surely, 2^{963113471627940} is an apocalyptic number.

963113471627940 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 963113471627940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563987457101888).

963113471627940 is an abundant number, since it is smaller than the sum of its proper divisors (2164861442575836).

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

963113471627940 is a wasteful number, since it uses less digits than its factorization.

963113471627940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158688 (or 158664 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 963113471627940 in words is "nine hundred sixty-three trillion, one hundred thirteen billion, four hundred seventy-one million, six hundred twenty-seven thousand, nine hundred forty".