968993721648 has 240 divisors, whose sum is σ = 2842748846080. Its totient is φ = 307829942784.

The previous prime is 968993721593. The next prime is 968993721649. The reversal of 968993721648 is 846127399869.

968993721648 is a `hidden beast` number, since 9 + 6 + 8 + 99 + 372 + 164 + 8 = 666.

It is a super-3 number, since 3×968993721648³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (968993721649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53446761 + ... + 53464887.

Almost surely, 2^968993721648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968993721648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421374423040).

968993721648 is an abundant number, since it is smaller than the sum of its proper divisors (1873755124432).

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

968993721648 is a wasteful number, since it uses less digits than its factorization.

968993721648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18384 (or 18375 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 968993721648 in words is "nine hundred sixty-eight billion, nine hundred ninety-three million, seven hundred twenty-one thousand, six hundred forty-eight".