8741587680 has 576 divisors, whose sum is σ = 36456376320. Its totient is φ = 1861926912.

The previous prime is 8741587661. The next prime is 8741587703. The reversal of 8741587680 is 867851478.

It is a happy number.

8741587680 is a `hidden beast` number, since 87 + 415 + 8 + 76 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 23818857 + ... + 23819223.

It is an arithmetic number, because the mean of its divisors is an integer number (63292320).

Almost surely, 2^8741587680 is an apocalyptic number.

8741587680 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 8741587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228188160).

8741587680 is an abundant number, since it is smaller than the sum of its proper divisors (27714788640).

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

8741587680 is a wasteful number, since it uses less digits than its factorization.

8741587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 8741587680 is about 93496.4581147329. The cubic root of 8741587680 is about 2059.9820653857.

The spelling of 8741587680 in words is "eight billion, seven hundred forty-one million, five hundred eighty-seven thousand, six hundred eighty".