960633651456 has 144 divisors (see below), whose sum is σ = 2841272828800. Its totient is φ = 320153720832.

The previous prime is 960633651401. The next prime is 960633651503. The reversal of 960633651456 is 654156336069.

It is a happy number.

960633651456 is a `hidden beast` number, since 9 + 60 + 63 + 3 + 6 + 514 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57976485 + ... + 57993051.

Almost surely, 2^960633651456 is an apocalyptic number.

960633651456 is a gapful number since it is divisible by the number (96) 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 960633651456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420636414400).

960633651456 is an abundant number, since it is smaller than the sum of its proper divisors (1880639177344).

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

960633651456 is a wasteful number, since it uses less digits than its factorization.

960633651456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24981 (or 24961 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 960633651456 in words is "nine hundred sixty billion, six hundred thirty-three million, six hundred fifty-one thousand, four hundred fifty-six".