978648000804 has 168 divisors, whose sum is σ = 2708373205440. Its totient is φ = 308423547072.

The previous prime is 978648000791. The next prime is 978648000829. The reversal of 978648000804 is 408000846879.

978648000804 is a `hidden beast` number, since 9 + 7 + 86 + 480 + 0 + 0 + 80 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27850654 + ... + 27885770.

It is an arithmetic number, because the mean of its divisors is an integer number (16121269080).

Almost surely, 2^978648000804 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 978648000804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354186602720).

978648000804 is an abundant number, since it is smaller than the sum of its proper divisors (1729725204636).

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

978648000804 is a wasteful number, since it uses less digits than its factorization.

978648000804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35661 (or 35644 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 978648000804 in words is "nine hundred seventy-eight billion, six hundred forty-eight million, eight hundred four", and thus it is an aban number.