7523676468 has 384 divisors, whose sum is σ = 27114393600. Its totient is φ = 1741824000.

The previous prime is 7523676467. The next prime is 7523676551. The reversal of 7523676468 is 8646763257.

7523676468 is a `hidden beast` number, since 7 + 523 + 6 + 76 + 46 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7523676463) 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 127 ways as a sum of consecutive naturals, for example, 2684668 + ... + 2687468.

It is an arithmetic number, because the mean of its divisors is an integer number (70610400).

Almost surely, 2^7523676468 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 7523676468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557196800).

7523676468 is an abundant number, since it is smaller than the sum of its proper divisors (19590717132).

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

7523676468 is a wasteful number, since it uses less digits than its factorization.

7523676468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2860 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 7523676468 is about 86739.1288173913. The cubic root of 7523676468 is about 1959.4914399701.

The spelling of 7523676468 in words is "seven billion, five hundred twenty-three million, six hundred seventy-six thousand, four hundred sixty-eight".