8978074560 has 896 divisors, whose sum is σ = 41101670400. Its totient is φ = 1791590400.

The previous prime is 8978074519. The next prime is 8978074583. The reversal of 8978074560 is 654708798.

8978074560 is a `hidden beast` number, since 8 + 9 + 7 + 8 + 0 + 74 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 8978074497 and 8978074506.

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 127 ways as a sum of consecutive naturals, for example, 14938260 + ... + 14938860.

It is an arithmetic number, because the mean of its divisors is an integer number (45872400).

Almost surely, 2^8978074560 is an apocalyptic number.

8978074560 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 8978074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20550835200).

8978074560 is an abundant number, since it is smaller than the sum of its proper divisors (32123595840).

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

8978074560 is a wasteful number, since it uses less digits than its factorization.

8978074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 8978074560 is about 94752.7021250582. The cubic root of 8978074560 is about 2078.3933105194.

The spelling of 8978074560 in words is "eight billion, nine hundred seventy-eight million, seventy-four thousand, five hundred sixty".