8625826560 has 288 divisors, whose sum is σ = 30122346240. Its totient is φ = 2090778624.

The previous prime is 8625826553. The next prime is 8625826579. The reversal of 8625826560 is 656285268.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3343351 + ... + 3345929.

It is an arithmetic number, because the mean of its divisors is an integer number (104591480).

Almost surely, 2^8625826560 is an apocalyptic number.

8625826560 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 8625826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15061173120).

8625826560 is an abundant number, since it is smaller than the sum of its proper divisors (21496519680).

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

8625826560 is a wasteful number, since it uses less digits than its factorization.

8625826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 8625826560 is about 92875.3280478729. The cubic root of 8625826560 is about 2050.8484736829.

The spelling of 8625826560 in words is "eight billion, six hundred twenty-five million, eight hundred twenty-six thousand, five hundred sixty".