7126149520 has 80 divisors (see below), whose sum is σ = 18967000320. Its totient is φ = 2439148032.

The previous prime is 7126149479. The next prime is 7126149529. The reversal of 7126149520 is 259416217.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 7126149520.

It is not an unprimeable number, because it can be changed into a prime (7126149529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332901 + ... + 353659.

It is an arithmetic number, because the mean of its divisors is an integer number (237087504).

Almost surely, 2^7126149520 is an apocalyptic number.

7126149520 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 7126149520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483500160).

7126149520 is an abundant number, since it is smaller than the sum of its proper divisors (11840850800).

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

7126149520 is a wasteful number, since it uses less digits than its factorization.

7126149520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21392 (or 21386 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 7126149520 is about 84416.5239748712. The cubic root of 7126149520 is about 1924.3540437935.

The spelling of 7126149520 in words is "seven billion, one hundred twenty-six million, one hundred forty-nine thousand, five hundred twenty".