1906664878080 has 1248 divisors, whose sum is σ = 7175734330752. Its totient is φ = 467140608000.

The previous prime is 1906664878039. The next prime is 1906664878093. The reversal of 1906664878080 is 808784666091.

It is a junction number, because it is equal to n+sod(n) for n = 1906664877999 and 1906664878017.

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, 18877870030 + ... + 18877870130.

It is an arithmetic number, because the mean of its divisors is an integer number (5749787124).

Almost surely, 2^{1906664878080} is an apocalyptic number.

1906664878080 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 1906664878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587867165376).

1906664878080 is an abundant number, since it is smaller than the sum of its proper divisors (5269069452672).

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

1906664878080 is a wasteful number, since it uses less digits than its factorization.

1906664878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1906664878080 in words is "one trillion, nine hundred six billion, six hundred sixty-four million, eight hundred seventy-eight thousand, eighty".