4170573681680 has 160 divisors (see below), whose sum is σ = 11412298137600. Its totient is φ = 1387880971776.

The previous prime is 4170573681679. The next prime is 4170573681697. The reversal of 4170573681680 is 861863750714.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811249 + ... + 3409071.

It is an arithmetic number, because the mean of its divisors is an integer number (71326863360).

Almost surely, 2^{4170573681680} is an apocalyptic number.

4170573681680 is a gapful number since it is divisible by the number (40) 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 4170573681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706149068800).

4170573681680 is an abundant number, since it is smaller than the sum of its proper divisors (7241724455920).

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

4170573681680 is a wasteful number, since it uses less digits than its factorization.

4170573681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597981 (or 1597975 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 4170573681680 in words is "four trillion, one hundred seventy billion, five hundred seventy-three million, six hundred eighty-one thousand, six hundred eighty".