8746118640 has 320 divisors, whose sum is σ = 34740633600. Its totient is φ = 1981034496.

The previous prime is 8746118603. The next prime is 8746118651. The reversal of 8746118640 is 468116478.

8746118640 is a `hidden beast` number, since 8 + 7 + 461 + 186 + 4 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1706001 + ... + 1711119.

It is an arithmetic number, because the mean of its divisors is an integer number (108564480).

Almost surely, 2^8746118640 is an apocalyptic number.

8746118640 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 8746118640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370316800).

8746118640 is an abundant number, since it is smaller than the sum of its proper divisors (25994514960).

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

8746118640 is a wasteful number, since it uses less digits than its factorization.

8746118640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8746118640 is about 93520.6856262292. The cubic root of 8746118640 is about 2060.3379154717.

The spelling of 8746118640 in words is "eight billion, seven hundred forty-six million, one hundred eighteen thousand, six hundred forty".