8703074101680 has 720 divisors, whose sum is σ = 36212269766400. Its totient is φ = 1902768164352.

The previous prime is 8703074101637. The next prime is 8703074101697. The reversal of 8703074101680 is 861014703078.

8703074101680 is a `hidden beast` number, since 8 + 70 + 3 + 0 + 7 + 410 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 71925871 + ... + 72046769.

It is an arithmetic number, because the mean of its divisors is an integer number (50294819120).

Almost surely, 2^{8703074101680} is an apocalyptic number.

8703074101680 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 8703074101680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18106134883200).

8703074101680 is an abundant number, since it is smaller than the sum of its proper divisors (27509195664720).

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

8703074101680 is a wasteful number, since it uses less digits than its factorization.

8703074101680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120980 (or 120939 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 8703074101680 in words is "eight trillion, seven hundred three billion, seventy-four million, one hundred one thousand, six hundred eighty".