8988672000 has 960 divisors, whose sum is σ = 39257487360. Its totient is φ = 1769472000.

The previous prime is 8988671983. The next prime is 8988672101. The reversal of 8988672000 is 2768898.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 473087991 + ... + 473088009.

It is an arithmetic number, because the mean of its divisors is an integer number (40893216).

Almost surely, 2^8988672000 is an apocalyptic number.

8988672000 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 8988672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19628743680).

8988672000 is an abundant number, since it is smaller than the sum of its proper divisors (30268815360).

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

8988672000 is a wasteful number, since it uses less digits than its factorization.

8988672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 8988672000 is about 94808.6072041985. The cubic root of 8988672000 is about 2079.2107459210.

The spelling of 8988672000 in words is "eight billion, nine hundred eighty-eight million, six hundred seventy-two thousand".