8364814920 has 320 divisors, whose sum is σ = 35053603200. Its totient is φ = 1738091520.

The previous prime is 8364814903. The next prime is 8364814933. The reversal of 8364814920 is 294184638.

It is a happy number.

8364814920 is a `hidden beast` number, since 83 + 6 + 4 + 81 + 492 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 232716 + ... + 266244.

It is an arithmetic number, because the mean of its divisors is an integer number (109542510).

Almost surely, 2^8364814920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8364814920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17526801600).

8364814920 is an abundant number, since it is smaller than the sum of its proper divisors (26688788280).

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

8364814920 is a wasteful number, since it uses less digits than its factorization.

8364814920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33570 (or 33557 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8364814920 is about 91459.3621232950. The cubic root of 8364814920 is about 2029.9504885722.

The spelling of 8364814920 in words is "eight billion, three hundred sixty-four million, eight hundred fourteen thousand, nine hundred twenty".