7503507648 has 672 divisors, whose sum is σ = 28078517376. Its totient is φ = 1863254016.

The previous prime is 7503507643. The next prime is 7503507659. The reversal of 7503507648 is 8467053057.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (7503507643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102787740 + ... + 102787812.

It is an arithmetic number, because the mean of its divisors is an integer number (41783508).

Almost surely, 2^7503507648 is an apocalyptic number.

7503507648 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 7503507648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039258688).

7503507648 is an abundant number, since it is smaller than the sum of its proper divisors (20575009728).

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

7503507648 is a wasteful number, since it uses less digits than its factorization.

7503507648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 7503507648 is about 86622.7894263398. The cubic root of 7503507648 is about 1957.7389280834.

The spelling of 7503507648 in words is "seven billion, five hundred three million, five hundred seven thousand, six hundred forty-eight".