8749437619200 has 1056 divisors, whose sum is σ = 31689430794240. Its totient is φ = 2120844902400.

The previous prime is 8749437619171. The next prime is 8749437619277. The reversal of 8749437619200 is 29167349478.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5744869639 + ... + 5744871161.

Almost surely, 2^{8749437619200} is an apocalyptic number.

8749437619200 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 8749437619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844715397120).

8749437619200 is an abundant number, since it is smaller than the sum of its proper divisors (22939993175040).

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

8749437619200 is a wasteful number, since it uses less digits than its factorization.

8749437619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 8749437619200 in words is "eight trillion, seven hundred forty-nine billion, four hundred thirty-seven million, six hundred nineteen thousand, two hundred".