7120576512 has 504 divisors, whose sum is σ = 25153671816. Its totient is φ = 2006581248.

The previous prime is 7120576511. The next prime is 7120576571. The reversal of 7120576512 is 2156750217.

7120576512 is a `hidden beast` number, since 71 + 2 + 0 + 5 + 76 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×7120576512² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7120576511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97542108 + ... + 97542180.

It is an arithmetic number, because the mean of its divisors is an integer number (49908079).

Almost surely, 2^7120576512 is an apocalyptic number.

7120576512 is a gapful number since it is divisible by the number (72) 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 7120576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576835908).

7120576512 is an abundant number, since it is smaller than the sum of its proper divisors (18033095304).

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

7120576512 is an frugal number, since it uses more digits than its factorization.

7120576512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 7120576512 is about 84383.5085309920. The cubic root of 7120576512 is about 1923.8522656897.

The spelling of 7120576512 in words is "seven billion, one hundred twenty million, five hundred seventy-six thousand, five hundred twelve".