8613707949000 has 576 divisors, whose sum is σ = 36573409192320. Its totient is φ = 1789859808000.

The previous prime is 8613707948981. The next prime is 8613707949001. The reversal of 8613707949000 is 9497073168.

It is a happy number.

8613707949000 is a `hidden beast` number, since 8 + 6 + 13 + 70 + 79 + 490 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (8613707949001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7058019 + ... + 8187981.

It is an arithmetic number, because the mean of its divisors is an integer number (63495502070).

Almost surely, 2^{8613707949000} 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 8613707949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18286704596160).

8613707949000 is an abundant number, since it is smaller than the sum of its proper divisors (27959701243320).

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

8613707949000 is a wasteful number, since it uses less digits than its factorization.

8613707949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130019 (or 1129991 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 8613707949000 in words is "eight trillion, six hundred thirteen billion, seven hundred seven million, nine hundred forty-nine thousand".