8667494400 has 288 divisors, whose sum is σ = 29083607280. Its totient is φ = 2276720640.

The previous prime is 8667494399. The next prime is 8667494449. The reversal of 8667494400 is 44947668.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8667494400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11212414 + ... + 11213186.

Almost surely, 2^8667494400 is an apocalyptic number.

8667494400 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 8667494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541803640).

8667494400 is an abundant number, since it is smaller than the sum of its proper divisors (20416112880).

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

8667494400 is a wasteful number, since it uses less digits than its factorization.

8667494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 8667494400 is about 93099.3791601211. The cubic root of 8667494400 is about 2054.1454406497.

The spelling of 8667494400 in words is "eight billion, six hundred sixty-seven million, four hundred ninety-four thousand, four hundred".