8764741440 has 672 divisors, whose sum is σ = 37864060416. Its totient is φ = 1811496960.

The previous prime is 8764741429. The next prime is 8764741457. The reversal of 8764741440 is 441474678.

It is a happy number.

8764741440 is a `hidden beast` number, since 87 + 64 + 74 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13889925 + ... + 13890555.

It is an arithmetic number, because the mean of its divisors is an integer number (56345328).

Almost surely, 2^8764741440 is an apocalyptic number.

8764741440 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 8764741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932030208).

8764741440 is an abundant number, since it is smaller than the sum of its proper divisors (29099318976).

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

8764741440 is a wasteful number, since it uses less digits than its factorization.

8764741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 8764741440 is about 93620.1978207694. The cubic root of 8764741440 is about 2061.7992135976.

The spelling of 8764741440 in words is "eight billion, seven hundred sixty-four million, seven hundred forty-one thousand, four hundred forty".