8578074960 has 720 divisors, whose sum is σ = 37070377344. Its totient is φ = 1805027328.

The previous prime is 8578074941. The next prime is 8578074971. The reversal of 8578074960 is 694708758.

8578074960 is a `hidden beast` number, since 8 + 578 + 0 + 7 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 8578074897 and 8578074906.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 22997334 + ... + 22997706.

Almost surely, 2^8578074960 is an apocalyptic number.

8578074960 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 8578074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18535188672).

8578074960 is an abundant number, since it is smaller than the sum of its proper divisors (28492302384).

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

8578074960 is a wasteful number, since it uses less digits than its factorization.

8578074960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 403 counting only the distinct ones).

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

The square root of 8578074960 is about 92617.8976224358. The cubic root of 8578074960 is about 2047.0570470363.

The spelling of 8578074960 in words is "eight billion, five hundred seventy-eight million, seventy-four thousand, nine hundred sixty".