8964745524 has 384 divisors, whose sum is σ = 29611008000. Its totient is φ = 2286434304.

The previous prime is 8964745523. The next prime is 8964745567. The reversal of 8964745524 is 4255474698.

8964745524 is a `hidden beast` number, since 89 + 6 + 4 + 7 + 4 + 552 + 4 = 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 (8964745523) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24971257 + ... + 24971615.

It is an arithmetic number, because the mean of its divisors is an integer number (77112000).

Almost surely, 2^8964745524 is an apocalyptic number.

8964745524 is a gapful number since it is divisible by the number (84) 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 8964745524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805504000).

8964745524 is an abundant number, since it is smaller than the sum of its proper divisors (20646262476).

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

8964745524 is a wasteful number, since it uses less digits than its factorization.

8964745524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 8964745524 is about 94682.3400851500. The cubic root of 8964745524 is about 2077.3642591393.

The spelling of 8964745524 in words is "eight billion, nine hundred sixty-four million, seven hundred forty-five thousand, five hundred twenty-four".