8356138560 has 672 divisors, whose sum is σ = 36612576000. Its totient is φ = 1734082560.

The previous prime is 8356138547. The next prime is 8356138591. The reversal of 8356138560 is 658316538.

8356138560 is a `hidden beast` number, since 8 + 3 + 56 + 1 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10865856 + ... + 10866624.

It is an arithmetic number, because the mean of its divisors is an integer number (54483000).

Almost surely, 2^8356138560 is an apocalyptic number.

8356138560 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 8356138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306288000).

8356138560 is an abundant number, since it is smaller than the sum of its proper divisors (28256437440).

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

8356138560 is a wasteful number, since it uses less digits than its factorization.

8356138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 8356138560 is about 91411.9169474090. The cubic root of 8356138560 is about 2029.2483939684.

The spelling of 8356138560 in words is "eight billion, three hundred fifty-six million, one hundred thirty-eight thousand, five hundred sixty".