8402753664 has 96 divisors (see below), whose sum is σ = 24197975100. Its totient is φ = 2798813184.

The previous prime is 8402753657. The next prime is 8402753669. The reversal of 8402753664 is 4663572048.

It can be written as a sum of positive squares in 2 ways, for example, as 7864142400 + 538611264 = 88680^2 + 23208^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8402753669) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2616892 + ... + 2620100.

Almost surely, 2^8402753664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8402753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12098987550).

8402753664 is an abundant number, since it is smaller than the sum of its proper divisors (15795221436).

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

8402753664 is a wasteful number, since it uses less digits than its factorization.

8402753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 8402753664 is about 91666.5351368753. The cubic root of 8402753664 is about 2033.0148174615.

The spelling of 8402753664 in words is "eight billion, four hundred two million, seven hundred fifty-three thousand, six hundred sixty-four".