8714737440 has 144 divisors (see below), whose sum is σ = 29894083128. Its totient is φ = 2311815168.

The previous prime is 8714737439. The next prime is 8714737457. The reversal of 8714737440 is 447374178.

8714737440 is a `hidden beast` number, since 8 + 71 + 473 + 74 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6933559824 + 1781177616 = 83268^2 + 42204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262242 + ... + 293598.

Almost surely, 2^8714737440 is an apocalyptic number.

8714737440 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 8714737440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947041564).

8714737440 is an abundant number, since it is smaller than the sum of its proper divisors (21179345688).

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

8714737440 is a wasteful number, since it uses less digits than its factorization.

8714737440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31571 (or 31560 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 8714737440 is about 93352.7580738780. The cubic root of 8714737440 is about 2057.8707883528.

The spelling of 8714737440 in words is "eight billion, seven hundred fourteen million, seven hundred thirty-seven thousand, four hundred forty".