8013700661760 has 960 divisors, whose sum is σ = 30334487040000. Its totient is φ = 1947671101440.

The previous prime is 8013700661737. The next prime is 8013700661777. The reversal of 8013700661760 is 671660073108.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 2429128591 + ... + 2429131889.

It is an arithmetic number, because the mean of its divisors is an integer number (31598424000).

Almost surely, 2^{8013700661760} is an apocalyptic number.

8013700661760 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 8013700661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15167243520000).

8013700661760 is an abundant number, since it is smaller than the sum of its proper divisors (22320786378240).

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

8013700661760 is a wasteful number, since it uses less digits than its factorization.

8013700661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 8013700661760 in words is "eight trillion, thirteen billion, seven hundred million, six hundred sixty-one thousand, seven hundred sixty".