8428759002720 has 1344 divisors, whose sum is σ = 36529424064000. Its totient is φ = 1794044878848.

The previous prime is 8428759002691. The next prime is 8428759002749. The reversal of 8428759002720 is 272009578248.

8428759002720 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 7 + 590 + 0 + 27 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (8428759002691) and next prime (8428759002749).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 915269476 + ... + 915278684.

It is an arithmetic number, because the mean of its divisors is an integer number (27179631000).

Almost surely, 2^{8428759002720} is an apocalyptic number.

8428759002720 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 8428759002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18264712032000).

8428759002720 is an abundant number, since it is smaller than the sum of its proper divisors (28100665061280).

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

8428759002720 is a wasteful number, since it uses less digits than its factorization.

8428759002720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9304 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 8428759002720 in words is "eight trillion, four hundred twenty-eight billion, seven hundred fifty-nine million, two thousand, seven hundred twenty".