8578379520 has 720 divisors, whose sum is σ = 33762693888. Its totient is φ = 2070282240.

The previous prime is 8578379473. The next prime is 8578379569. The reversal of 8578379520 is 259738758.

8578379520 is a `hidden beast` number, since 85 + 7 + 8 + 37 + 9 + 520 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54639282 + ... + 54639438.

Almost surely, 2^8578379520 is an apocalyptic number.

8578379520 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 8578379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16881346944).

8578379520 is an abundant number, since it is smaller than the sum of its proper divisors (25184314368).

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

8578379520 is a wasteful number, since it uses less digits than its factorization.

8578379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The square root of 8578379520 is about 92619.5417824986. The cubic root of 8578379520 is about 2047.0812733077.

The spelling of 8578379520 in words is "eight billion, five hundred seventy-eight million, three hundred seventy-nine thousand, five hundred twenty".