8400336480 has 288 divisors, whose sum is σ = 30462868800. Its totient is φ = 2100658176.

The previous prime is 8400336443. The next prime is 8400336481. The reversal of 8400336480 is 846330048.

8400336480 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 3 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400336481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10011901 + ... + 10012739.

It is an arithmetic number, because the mean of its divisors is an integer number (105773850).

Almost surely, 2^8400336480 is an apocalyptic number.

8400336480 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 8400336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15231434400).

8400336480 is an abundant number, since it is smaller than the sum of its proper divisors (22062532320).

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

8400336480 is a wasteful number, since it uses less digits than its factorization.

8400336480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8400336480 is about 91653.3495296271. The cubic root of 8400336480 is about 2032.8198558900.

The spelling of 8400336480 in words is "eight billion, four hundred million, three hundred thirty-six thousand, four hundred eighty".