7045877160 has 768 divisors, whose sum is σ = 29328998400. Its totient is φ = 1430784000.

The previous prime is 7045877143. The next prime is 7045877161. The reversal of 7045877160 is 617785407.

7045877160 is a `hidden beast` number, since 7 + 0 + 4 + 587 + 7 + 1 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7045877161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69761110 + ... + 69761210.

It is an arithmetic number, because the mean of its divisors is an integer number (38188800).

Almost surely, 2^7045877160 is an apocalyptic number.

7045877160 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 7045877160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664499200).

7045877160 is an abundant number, since it is smaller than the sum of its proper divisors (22283121240).

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

7045877160 is a wasteful number, since it uses less digits than its factorization.

7045877160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 7045877160 is about 83939.7233733826. The cubic root of 7045877160 is about 1917.1011266994.

The spelling of 7045877160 in words is "seven billion, forty-five million, eight hundred seventy-seven thousand, one hundred sixty".