978239683600 has 135 divisors (see below), whose sum is σ = 2497459905157. Its totient is φ = 368151869440.

The previous prime is 978239683573. The next prime is 978239683601. The reversal of 978239683600 is 6386932879.

The square root of 978239683600 is 989060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 46350645264 + 931889038336 = 215292^2 + 965344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (978239683601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 336278946 + ... + 336281854.

Almost surely, 2^978239683600 is an apocalyptic number.

978239683600 is the 989060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978239683600

978239683600 is an abundant number, since it is smaller than the sum of its proper divisors (1519220221557).

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

978239683600 is an equidigital number, since it uses as much as digits as its factorization.

978239683600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 978239683600 in words is "nine hundred seventy-eight billion, two hundred thirty-nine million, six hundred eighty-three thousand, six hundred".