8747676000 has 1440 divisors, whose sum is σ = 40670229600. Its totient is φ = 1828915200.

The previous prime is 8747675999. The next prime is 8747676001. The reversal of 8747676000 is 6767478.

It is an interprime number because it is at equal distance from previous prime (8747675999) and next prime (8747676001).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8747676001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 301643986 + ... + 301644014.

It is an arithmetic number, because the mean of its divisors is an integer number (28243215).

Almost surely, 2^8747676000 is an apocalyptic number.

8747676000 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 8747676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20335114800).

8747676000 is an abundant number, since it is smaller than the sum of its proper divisors (31922553600).

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

8747676000 is a wasteful number, since it uses less digits than its factorization.

8747676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 8747676000 is about 93529.0115418740. The cubic root of 8747676000 is about 2060.4601981877.

The spelling of 8747676000 in words is "eight billion, seven hundred forty-seven million, six hundred seventy-six thousand".