8729856700488 has 1152 divisors, whose sum is σ = 31468324792320. Its totient is φ = 2204899107840.

The previous prime is 8729856700463. The next prime is 8729856700529. The reversal of 8729856700488 is 8840076589278.

8729856700488 is a `hidden beast` number, since 8 + 7 + 2 + 9 + 85 + 67 + 0 + 0 + 488 = 666.

It is a super-2 number, since 2×8729856700488² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27890915820 + ... + 27890916132.

It is an arithmetic number, because the mean of its divisors is an integer number (27316254160).

Almost surely, 2^{8729856700488} is an apocalyptic number.

8729856700488 is a gapful number since it is divisible by the number (88) 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 8729856700488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15734162396160).

8729856700488 is an abundant number, since it is smaller than the sum of its proper divisors (22738468091832).

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

8729856700488 is a wasteful number, since it uses less digits than its factorization.

8729856700488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 8729856700488 in words is "eight trillion, seven hundred twenty-nine billion, eight hundred fifty-six million, seven hundred thousand, four hundred eighty-eight".