7540126560 has 216 divisors, whose sum is σ = 26091570960. Its totient is φ = 1982882304.

The previous prime is 7540126549. The next prime is 7540126577. The reversal of 7540126560 is 656210457.

It is a happy number.

7540126560 is a `hidden beast` number, since 75 + 4 + 0 + 1 + 26 + 560 = 666.

It is a super-3 number, since 3×7540126560³ (a number of 31 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8986621 + ... + 8987459.

It is an arithmetic number, because the mean of its divisors is an integer number (120794310).

Almost surely, 2^7540126560 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 7540126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045785480).

7540126560 is an abundant number, since it is smaller than the sum of its proper divisors (18551444400).

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

7540126560 is a wasteful number, since it uses less digits than its factorization.

7540126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7540126560 is about 86833.9021350532. The cubic root of 7540126560 is about 1960.9185060516.

The spelling of 7540126560 in words is "seven billion, five hundred forty million, one hundred twenty-six thousand, five hundred sixty".