978610874880 has 320 divisors, whose sum is σ = 3319147560960. Its totient is φ = 245276688384.

The previous prime is 978610874867. The next prime is 978610874893. The reversal of 978610874880 is 88478016879.

It is an interprime number because it is at equal distance from previous prime (978610874867) and next prime (978610874893).

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 18505437 + ... + 18558243.

It is an arithmetic number, because the mean of its divisors is an integer number (10372336128).

Almost surely, 2^978610874880 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 978610874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659573780480).

978610874880 is an abundant number, since it is smaller than the sum of its proper divisors (2340536686080).

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

978610874880 is a wasteful number, since it uses less digits than its factorization.

978610874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52979 (or 52963 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 66.

The spelling of 978610874880 in words is "nine hundred seventy-eight billion, six hundred ten million, eight hundred seventy-four thousand, eight hundred eighty".