8764461360 has 480 divisors, whose sum is σ = 33202636800. Its totient is φ = 2116938240.

The previous prime is 8764461337. The next prime is 8764461383. The reversal of 8764461360 is 631644678.

It is a happy number.

8764461360 is a `hidden beast` number, since 8 + 76 + 446 + 136 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8764461337) and next prime (8764461383).

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, 105595879 + ... + 105595961.

It is an arithmetic number, because the mean of its divisors is an integer number (69172160).

Almost surely, 2^8764461360 is an apocalyptic number.

8764461360 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 8764461360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601318400).

8764461360 is an abundant number, since it is smaller than the sum of its proper divisors (24438175440).

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

8764461360 is a wasteful number, since it uses less digits than its factorization.

8764461360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8764461360 is about 93618.7019777566. The cubic root of 8764461360 is about 2061.7772515549. Note that the first 3 decimals are identical.

The spelling of 8764461360 in words is "eight billion, seven hundred sixty-four million, four hundred sixty-one thousand, three hundred sixty".