8354467440 has 320 divisors, whose sum is σ = 31544409600. Its totient is φ = 2015539200.

The previous prime is 8354467427. The next prime is 8354467441. The reversal of 8354467440 is 447644538.

8354467440 is a `hidden beast` number, since 8 + 3 + 544 + 67 + 4 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8354467441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5725431 + ... + 5726889.

It is an arithmetic number, because the mean of its divisors is an integer number (98576280).

Almost surely, 2^8354467440 is an apocalyptic number.

8354467440 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 8354467440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772204800).

8354467440 is an abundant number, since it is smaller than the sum of its proper divisors (23189942160).

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

8354467440 is a wasteful number, since it uses less digits than its factorization.

8354467440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 8354467440 is about 91402.7758878252. The cubic root of 8354467440 is about 2029.1131104425.

The spelling of 8354467440 in words is "eight billion, three hundred fifty-four million, four hundred sixty-seven thousand, four hundred forty".