1670106993660 has 240 divisors, whose sum is σ = 5989519166400. Its totient is φ = 381619123200.

The previous prime is 1670106993647. The next prime is 1670106993707. The reversal of 1670106993660 is 663996010761.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1670106993597 and 1670106993606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39090310 + ... + 39133010.

It is an arithmetic number, because the mean of its divisors is an integer number (24956329860).

Almost surely, 2^{1670106993660} is an apocalyptic number.

1670106993660 is a gapful number since it is divisible by the number (10) 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 1670106993660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994759583200).

1670106993660 is an abundant number, since it is smaller than the sum of its proper divisors (4319412172740).

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

1670106993660 is a wasteful number, since it uses less digits than its factorization.

1670106993660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46178 (or 46167 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 1670106993660 in words is "one trillion, six hundred seventy billion, one hundred six million, nine hundred ninety-three thousand, six hundred sixty".