7540719648 has 384 divisors, whose sum is σ = 27276963840. Its totient is φ = 1762590720.

The previous prime is 7540719647. The next prime is 7540719661. The reversal of 7540719648 is 8469170457.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 7540719648.

It is not an unprimeable number, because it can be changed into a prime (7540719647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2888968 + ... + 2891576.

It is an arithmetic number, because the mean of its divisors is an integer number (71033760).

Almost surely, 2^7540719648 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 7540719648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13638481920).

7540719648 is an abundant number, since it is smaller than the sum of its proper divisors (19736244192).

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

7540719648 is a wasteful number, since it uses less digits than its factorization.

7540719648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The square root of 7540719648 is about 86837.3171395800. The cubic root of 7540719648 is about 1960.9699183957.

The spelling of 7540719648 in words is "seven billion, five hundred forty million, seven hundred nineteen thousand, six hundred forty-eight".