7008261120 has 264 divisors, whose sum is σ = 27753782784. Its totient is φ = 1601814528.

The previous prime is 7008261107. The next prime is 7008261137. The reversal of 7008261120 is 211628007.

It is a super-2 number, since 2×7008261120² = 98231447852207308800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311697 + ... + 333423.

Almost surely, 2^7008261120 is an apocalyptic number.

7008261120 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 7008261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876891392).

7008261120 is an abundant number, since it is smaller than the sum of its proper divisors (20745521664).

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

7008261120 is a wasteful number, since it uses less digits than its factorization.

7008261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21765 (or 21744 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7008261120 is about 83715.3577308250. The cubic root of 7008261120 is about 1913.6834085559.

Adding to 7008261120 its reverse (211628007), we get a palindrome (7219889127).

The spelling of 7008261120 in words is "seven billion, eight million, two hundred sixty-one thousand, one hundred twenty".