7523867648 has 176 divisors, whose sum is σ = 17544591360. Its totient is φ = 3191193600.

The previous prime is 7523867641. The next prime is 7523867653. The reversal of 7523867648 is 8467683257.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 7523867593 and 7523867602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7523867641) 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 15 ways as a sum of consecutive naturals, for example, 10125965 + ... + 10126707.

Almost surely, 2^7523867648 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 7523867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772295680).

7523867648 is an abundant number, since it is smaller than the sum of its proper divisors (10020723712).

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

7523867648 is a wasteful number, since it uses less digits than its factorization.

7523867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 816 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 56.

The square root of 7523867648 is about 86740.2308505113. The cubic root of 7523867648 is about 1959.5080370156.

The spelling of 7523867648 in words is "seven billion, five hundred twenty-three million, eight hundred sixty-seven thousand, six hundred forty-eight".