8749641600 has 1536 divisors, whose sum is σ = 41525913600. Its totient is φ = 1751777280.

The previous prime is 8749641553. The next prime is 8749641601. The reversal of 8749641600 is 61469478.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8749641601) 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 191 ways as a sum of consecutive naturals, for example, 236476782 + ... + 236476818.

It is an arithmetic number, because the mean of its divisors is an integer number (27035100).

Almost surely, 2^8749641600 is an apocalyptic number.

8749641600 is a gapful number since it is divisible by the number (80) 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 8749641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20762956800).

8749641600 is an abundant number, since it is smaller than the sum of its proper divisors (32776272000).

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

8749641600 is a wasteful number, since it uses less digits than its factorization.

8749641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8749641600 is about 93539.5189211490. The cubic root of 8749641600 is about 2060.6145148792.

The spelling of 8749641600 in words is "eight billion, seven hundred forty-nine million, six hundred forty-one thousand, six hundred".