7126087680 has 144 divisors (see below), whose sum is σ = 24698058840. Its totient is φ = 1900265472.

The previous prime is 7126087679. The next prime is 7126087681. The reversal of 7126087680 is 867806217.

It is an interprime number because it is at equal distance from previous prime (7126087679) and next prime (7126087681).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7126087680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7126087681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53499 + ... + 130821.

Almost surely, 2^7126087680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7126087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349029420).

7126087680 is an abundant number, since it is smaller than the sum of its proper divisors (17571971160).

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

7126087680 is a wasteful number, since it uses less digits than its factorization.

7126087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77356 (or 77333 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7126087680 is about 84416.1576950764. The cubic root of 7126087680 is about 1924.3484773279.

The spelling of 7126087680 in words is "seven billion, one hundred twenty-six million, eighty-seven thousand, six hundred eighty".