8742751200 has 576 divisors, whose sum is σ = 33822835200. Its totient is φ = 2200296960.

The previous prime is 8742751169. The next prime is 8742751231. The reversal of 8742751200 is 21572478.

It is an interprime number because it is at equal distance from previous prime (8742751169) and next prime (8742751231).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33242269 + ... + 33242531.

It is an arithmetic number, because the mean of its divisors is an integer number (58720200).

Almost surely, 2^8742751200 is an apocalyptic number.

8742751200 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 8742751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16911417600).

8742751200 is an abundant number, since it is smaller than the sum of its proper divisors (25080084000).

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

8742751200 is a wasteful number, since it uses less digits than its factorization.

8742751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 8742751200 is about 93502.6801754902. The cubic root of 8742751200 is about 2060.0734570218.

The spelling of 8742751200 in words is "eight billion, seven hundred forty-two million, seven hundred fifty-one thousand, two hundred".