8541625680 has 120 divisors (see below), whose sum is σ = 32783592192. Its totient is φ = 1952370432.

The previous prime is 8541625661. The next prime is 8541625681. The reversal of 8541625680 is 865261458.

8541625680 is a `hidden beast` number, since 8 + 541 + 6 + 25 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8541625681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842344 + ... + 852423.

Almost surely, 2^8541625680 is an apocalyptic number.

8541625680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8541625680 is an abundant number, since it is smaller than the sum of its proper divisors (24241966512).

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

8541625680 is a wasteful number, since it uses less digits than its factorization.

8541625680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694793 (or 1694784 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8541625680 is about 92420.9158145493. The cubic root of 8541625680 is about 2044.1535328649.

The spelling of 8541625680 in words is "eight billion, five hundred forty-one million, six hundred twenty-five thousand, six hundred eighty".