8732949120 has 1024 divisors, whose sum is σ = 38259302400. Its totient is φ = 1839366144.

The previous prime is 8732949109. The next prime is 8732949131. The reversal of 8732949120 is 219492378.

It is an interprime number because it is at equal distance from previous prime (8732949109) and next prime (8732949131).

It is a super-3 number, since 3×8732949120³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119629404 + ... + 119629476.

It is an arithmetic number, because the mean of its divisors is an integer number (37362600).

Almost surely, 2^8732949120 is an apocalyptic number.

8732949120 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 8732949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19129651200).

8732949120 is an abundant number, since it is smaller than the sum of its proper divisors (29526353280).

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

8732949120 is a wasteful number, since it uses less digits than its factorization.

8732949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8732949120 is about 93450.2494378693. The cubic root of 8732949120 is about 2059.3032739811.

The spelling of 8732949120 in words is "eight billion, seven hundred thirty-two million, nine hundred forty-nine thousand, one hundred twenty".