8364973440 has 256 divisors, whose sum is σ = 29038176000. Its totient is φ = 2040127488.

The previous prime is 8364973439. The next prime is 8364973453. The reversal of 8364973440 is 443794638.

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 8364973440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053967 + ... + 1061873.

It is an arithmetic number, because the mean of its divisors is an integer number (113430375).

Almost surely, 2^8364973440 is an apocalyptic number.

8364973440 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 8364973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519088000).

8364973440 is an abundant number, since it is smaller than the sum of its proper divisors (20673202560).

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

8364973440 is a wasteful number, since it uses less digits than its factorization.

8364973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977 (or 7965 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 8364973440 is about 91460.2287335867. The cubic root of 8364973440 is about 2029.9633115584.

The spelling of 8364973440 in words is "eight billion, three hundred sixty-four million, nine hundred seventy-three thousand, four hundred forty".