8742658613760 has 400 divisors, whose sum is σ = 32961531398400. Its totient is φ = 2208670654464.

The previous prime is 8742658613747. The next prime is 8742658613803. The reversal of 8742658613760 is 673168562478.

8742658613760 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 6 + 5 + 8 + 613 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×8742658613760² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2830321 + ... + 5049359.

It is an arithmetic number, because the mean of its divisors is an integer number (82403828496).

Almost surely, 2^{8742658613760} is an apocalyptic number.

8742658613760 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 8742658613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16480765699200).

8742658613760 is an abundant number, since it is smaller than the sum of its proper divisors (24218872784640).

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

8742658613760 is a wasteful number, since it uses less digits than its factorization.

8742658613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219093 (or 2219068 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 8742658613760 in words is "eight trillion, seven hundred forty-two billion, six hundred fifty-eight million, six hundred thirteen thousand, seven hundred sixty".