8364560400 has 360 divisors, whose sum is σ = 34074507584. Its totient is φ = 1860019200.

The previous prime is 8364560381. The next prime is 8364560411. The reversal of 8364560400 is 40654638.

8364560400 is a `hidden beast` number, since 8 + 3 + 6 + 45 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 927915 + ... + 936885.

Almost surely, 2^8364560400 is an apocalyptic number.

8364560400 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 8364560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037253792).

8364560400 is an abundant number, since it is smaller than the sum of its proper divisors (25709947184).

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

8364560400 is a wasteful number, since it uses less digits than its factorization.

8364560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 8364560400 is about 91457.9706750593. The cubic root of 8364560400 is about 2029.9298996234.

The spelling of 8364560400 in words is "eight billion, three hundred sixty-four million, five hundred sixty thousand, four hundred".