7064184960 has 768 divisors, whose sum is σ = 29749075200. Its totient is φ = 1598994432.

The previous prime is 7064184949. The next prime is 7064185001. The reversal of 7064184960 is 694814607.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68584269 + ... + 68584371.

It is an arithmetic number, because the mean of its divisors is an integer number (38735775).

Almost surely, 2^7064184960 is an apocalyptic number.

7064184960 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 7064184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874537600).

7064184960 is an abundant number, since it is smaller than the sum of its proper divisors (22684890240).

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

7064184960 is an equidigital number, since it uses as much as digits as its factorization.

7064184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7064184960 is about 84048.7058793888. The cubic root of 7064184960 is about 1918.7601370160.

The spelling of 7064184960 in words is "seven billion, sixty-four million, one hundred eighty-four thousand, nine hundred sixty".