1906162735680 has 1400 divisors, whose sum is σ = 8011157018040. Its totient is φ = 430160855040.

The previous prime is 1906162735649. The next prime is 1906162735691. The reversal of 1906162735680 is 865372616091.

1906162735680 is a `hidden beast` number, since 1 + 9 + 0 + 6 + 1 + 6 + 2 + 73 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 458838245376 + 1447324490304 = 677376^2 + 1203048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 6783497140 + ... + 6783497420.

Almost surely, 2^{1906162735680} is an apocalyptic number.

1906162735680 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 1906162735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005578509020).

1906162735680 is an abundant number, since it is smaller than the sum of its proper divisors (6104994282360).

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

1906162735680 is an equidigital number, since it uses as much as digits as its factorization.

1906162735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1906162735680 in words is "one trillion, nine hundred six billion, one hundred sixty-two million, seven hundred thirty-five thousand, six hundred eighty".