7647273540 has 288 divisors, whose sum is σ = 25467807456. Its totient is φ = 1849835520.

The previous prime is 7647273503. The next prime is 7647273541. The reversal of 7647273540 is 453727467.

7647273540 is a `hidden beast` number, since 76 + 472 + 73 + 5 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3696396804 + 3950876736 = 60798^2 + 62856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7647273541) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9892594 + ... + 9893366.

It is an arithmetic number, because the mean of its divisors is an integer number (88429887).

Almost surely, 2^7647273540 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 7647273540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12733903728).

7647273540 is an abundant number, since it is smaller than the sum of its proper divisors (17820533916).

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

7647273540 is a wasteful number, since it uses less digits than its factorization.

7647273540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The square root of 7647273540 is about 87448.6908992925. The cubic root of 7647273540 is about 1970.1632252432.

The spelling of 7647273540 in words is "seven billion, six hundred forty-seven million, two hundred seventy-three thousand, five hundred forty".