8978063600 has 240 divisors, whose sum is σ = 24709847040. Its totient is φ = 3104640000.

The previous prime is 8978063581. The next prime is 8978063621. The reversal of 8978063600 is 63608798.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9059105 + ... + 9060095.

It is an arithmetic number, because the mean of its divisors is an integer number (102957696).

Almost surely, 2^8978063600 is an apocalyptic number.

8978063600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8978063600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354923520).

8978063600 is an abundant number, since it is smaller than the sum of its proper divisors (15731783440).

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

8978063600 is a wasteful number, since it uses less digits than its factorization.

8978063600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 8978063600 is about 94752.6442902783. The cubic root of 8978063600 is about 2078.3924647849.

The spelling of 8978063600 in words is "eight billion, nine hundred seventy-eight million, sixty-three thousand, six hundred".