8629741120 has 448 divisors, whose sum is σ = 28573171200. Its totient is φ = 2394685440.

The previous prime is 8629741097. The next prime is 8629741163. The reversal of 8629741120 is 211479268.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9288816 + ... + 9289744.

It is an arithmetic number, because the mean of its divisors is an integer number (63779400).

Almost surely, 2^8629741120 is an apocalyptic number.

8629741120 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 8629741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14286585600).

8629741120 is an abundant number, since it is smaller than the sum of its proper divisors (19943430080).

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

8629741120 is a wasteful number, since it uses less digits than its factorization.

8629741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 8629741120 is about 92896.3999302449. The cubic root of 8629741120 is about 2051.1586644497.

The spelling of 8629741120 in words is "eight billion, six hundred twenty-nine million, seven hundred forty-one thousand, one hundred twenty".