8374912000 has 352 divisors, whose sum is σ = 25750932480. Its totient is φ = 2646835200.

The previous prime is 8374911991. The next prime is 8374912009. The reversal of 8374912000 is 2194738.

It is an interprime number because it is at equal distance from previous prime (8374911991) and next prime (8374912009).

It is a super-3 number, since 3×8374912000³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8374912009) 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 31 ways as a sum of consecutive naturals, for example, 11647641 + ... + 11648359.

Almost surely, 2^8374912000 is an apocalyptic number.

8374912000 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 8374912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875466240).

8374912000 is an abundant number, since it is smaller than the sum of its proper divisors (17376020480).

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

8374912000 is a wasteful number, since it uses less digits than its factorization.

8374912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 8374912000 is about 91514.5452919917. The cubic root of 8374912000 is about 2030.7669374371.

The spelling of 8374912000 in words is "eight billion, three hundred seventy-four million, nine hundred twelve thousand".