7166315520 has 528 divisors, whose sum is σ = 30579232320. Its totient is φ = 1511129088.

The previous prime is 7166315501. The next prime is 7166315521. The reversal of 7166315520 is 255136617.

7166315520 is a `hidden beast` number, since 7 + 16 + 631 + 5 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7166315521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192426 + ... + 4194134.

Almost surely, 2^7166315520 is an apocalyptic number.

7166315520 is a gapful number since it is divisible by the number (70) 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 7166315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289616160).

7166315520 is an abundant number, since it is smaller than the sum of its proper divisors (23412916800).

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

7166315520 is a wasteful number, since it uses less digits than its factorization.

7166315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7166315520 is about 84654.0933446221. The cubic root of 7166315520 is about 1927.9627639256.

The spelling of 7166315520 in words is "seven billion, one hundred sixty-six million, three hundred fifteen thousand, five hundred twenty".