7530651648 has 392 divisors, whose sum is σ = 24567881268. Its totient is φ = 2293235712.

The previous prime is 7530651637. The next prime is 7530651649. The reversal of 7530651648 is 8461560357.

7530651648 is a `hidden beast` number, since 7 + 530 + 6 + 51 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7169347584 + 361304064 = 84672^2 + 19008^2 .

It is not an unprimeable number, because it can be changed into a prime (7530651649) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 77635536 + ... + 77635632.

Almost surely, 2^7530651648 is an apocalyptic number.

7530651648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7530651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12283940634).

7530651648 is an abundant number, since it is smaller than the sum of its proper divisors (17037229620).

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

7530651648 is an frugal number, since it uses more digits than its factorization.

7530651648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 7530651648 is about 86779.3273078329. The cubic root of 7530651648 is about 1960.0967993287.

The spelling of 7530651648 in words is "seven billion, five hundred thirty million, six hundred fifty-one thousand, six hundred forty-eight".