7540586640 has 240 divisors, whose sum is σ = 27438922368. Its totient is φ = 1848397824.

The previous prime is 7540586629. The next prime is 7540586659. The reversal of 7540586640 is 466850457.

7540586640 is a `hidden beast` number, since 7 + 5 + 4 + 0 + 586 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519157 + ... + 533483.

Almost surely, 2^7540586640 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 7540586640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719461184).

7540586640 is an abundant number, since it is smaller than the sum of its proper divisors (19898335728).

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

7540586640 is a wasteful number, since it uses less digits than its factorization.

7540586640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14406 (or 14397 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 7540586640 is about 86836.5512903409. The cubic root of 7540586640 is about 1960.9583887171.

The spelling of 7540586640 in words is "seven billion, five hundred forty million, five hundred eighty-six thousand, six hundred forty".