8764208640 has 320 divisors, whose sum is σ = 33964254720. Its totient is φ = 2124472320.

The previous prime is 8764208633. The next prime is 8764208671. The reversal of 8764208640 is 468024678.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×8764208640² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754557 + ... + 766083.

It is an arithmetic number, because the mean of its divisors is an integer number (106138296).

Almost surely, 2^8764208640 is an apocalyptic number.

8764208640 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 8764208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982127360).

8764208640 is an abundant number, since it is smaller than the sum of its proper divisors (25200046080).

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

8764208640 is a wasteful number, since it uses less digits than its factorization.

8764208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11570 (or 11548 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8764208640 is about 93617.3522377129. The cubic root of 8764208640 is about 2061.7574345031.

The spelling of 8764208640 in words is "eight billion, seven hundred sixty-four million, two hundred eight thousand, six hundred forty".