8720107643520 has 4032 divisors, whose sum is σ = 41097255868440. Its totient is φ = 1760775045120.

The previous prime is 8720107643509. The next prime is 8720107643573. The reversal of 8720107643520 is 253467010278.

8720107643520 is a `hidden beast` number, since 8 + 7 + 2 + 0 + 10 + 76 + 43 + 520 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 177955735104 + 8542151908416 = 421848^2 + 2922696^2 .

It is a tau number, because it is divible by the number of its divisors (4032).

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 503 ways as a sum of consecutive naturals, for example, 142952584290 + ... + 142952584350.

Almost surely, 2^{8720107643520} is an apocalyptic number.

8720107643520 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 8720107643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20548627934220).

8720107643520 is an abundant number, since it is smaller than the sum of its proper divisors (32377148224920).

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

8720107643520 is a wasteful number, since it uses less digits than its factorization.

8720107643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 8720107643520 in words is "eight trillion, seven hundred twenty billion, one hundred seven million, six hundred forty-three thousand, five hundred twenty".