8772050034720 has 432 divisors, whose sum is σ = 34950476066688. Its totient is φ = 1997636981760.

The previous prime is 8772050034677. The next prime is 8772050034829. The reversal of 8772050034720 is 274300502778.

8772050034720 is a `hidden beast` number, since 8 + 7 + 72 + 0 + 500 + 3 + 4 + 72 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 18892387 + ... + 19351133.

It is an arithmetic number, because the mean of its divisors is an integer number (80903879784).

Almost surely, 2^{8772050034720} is an apocalyptic number.

8772050034720 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 8772050034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475238033344).

8772050034720 is an abundant number, since it is smaller than the sum of its proper divisors (26178426031968).

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

8772050034720 is a wasteful number, since it uses less digits than its factorization.

8772050034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459053 (or 459035 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 8772050034720 in words is "eight trillion, seven hundred seventy-two billion, fifty million, thirty-four thousand, seven hundred twenty".