7136088960 has 1024 divisors, whose sum is σ = 31585075200. Its totient is φ = 1322680320.

The previous prime is 7136088941. The next prime is 7136088983. The reversal of 7136088960 is 698806317.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90330201 + ... + 90330279.

It is an arithmetic number, because the mean of its divisors is an integer number (30844800).

Almost surely, 2^7136088960 is an apocalyptic number.

7136088960 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 7136088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792537600).

7136088960 is an abundant number, since it is smaller than the sum of its proper divisors (24448986240).

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

7136088960 is a wasteful number, since it uses less digits than its factorization.

7136088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 7136088960 is about 84475.3748733914. The cubic root of 7136088960 is about 1925.2483142878.

The spelling of 7136088960 in words is "seven billion, one hundred thirty-six million, eighty-eight thousand, nine hundred sixty".