7073277120 has 672 divisors, whose sum is σ = 30315212928. Its totient is φ = 1473970176.

The previous prime is 7073277119. The next prime is 7073277157. The reversal of 7073277120 is 217723707.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35904862 + ... + 35905058.

It is an arithmetic number, because the mean of its divisors is an integer number (45111924).

Almost surely, 2^7073277120 is an apocalyptic number.

7073277120 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 7073277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15157606464).

7073277120 is an abundant number, since it is smaller than the sum of its proper divisors (23241935808).

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

7073277120 is a wasteful number, since it uses less digits than its factorization.

7073277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 7073277120 is about 84102.7771241830. Note that the first 3 decimals coincide. The cubic root of 7073277120 is about 1919.5829823484.

The spelling of 7073277120 in words is "seven billion, seventy-three million, two hundred seventy-seven thousand, one hundred twenty".