8766468000 has 576 divisors, whose sum is σ = 33484389120. Its totient is φ = 2249856000.

The previous prime is 8766467999. The next prime is 8766468001. The reversal of 8766468000 is 8646678.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8766467999) and next prime (8766468001).

It is a super-2 number, since 2×8766468000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8766468001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28187845 + ... + 28188155.

It is an arithmetic number, because the mean of its divisors is an integer number (58132620).

Almost surely, 2^8766468000 is an apocalyptic number.

8766468000 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 8766468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742194560).

8766468000 is an abundant number, since it is smaller than the sum of its proper divisors (24717921120).

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

8766468000 is a wasteful number, since it uses less digits than its factorization.

8766468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8766468000 is about 93629.4184538172. The cubic root of 8766468000 is about 2061.9345888147.

The spelling of 8766468000 in words is "eight billion, seven hundred sixty-six million, four hundred sixty-eight thousand".