978863827968 has 528 divisors, whose sum is σ = 3103792080480. Its totient is φ = 295320158208.

The previous prime is 978863827961. The next prime is 978863827973. The reversal of 978863827968 is 869728368879.

978863827968 is a `hidden beast` number, since 9 + 78 + 86 + 382 + 7 + 96 + 8 = 666.

Its product of digits (3511517184) is a multiple of the sum of its prime factors (864).

It is not an unprimeable number, because it can be changed into a prime (978863827961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1720322788 + ... + 1720323356.

Almost surely, 2^978863827968 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 978863827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551896040240).

978863827968 is an abundant number, since it is smaller than the sum of its proper divisors (2124928252512).

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

978863827968 is a wasteful number, since it uses less digits than its factorization.

978863827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 843 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 81.

The spelling of 978863827968 in words is "nine hundred seventy-eight billion, eight hundred sixty-three million, eight hundred twenty-seven thousand, nine hundred sixty-eight".