1936006461600 has 144 divisors (see below), whose sum is σ = 6315739516800. Its totient is φ = 515118284800.

The previous prime is 1936006461589. The next prime is 1936006461607. The reversal of 1936006461600 is 61646006391.

It is not an unprimeable number, because it can be changed into a prime (1936006461607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179305 + ... + 1975895.

It is an arithmetic number, because the mean of its divisors is an integer number (43859302200).

Almost surely, 2^{1936006461600} is an apocalyptic number.

1936006461600 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 1936006461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157869758400).

1936006461600 is an abundant number, since it is smaller than the sum of its proper divisors (4379733055200).

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

1936006461600 is a wasteful number, since it uses less digits than its factorization.

1936006461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797063 (or 1797050 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 1936006461600 in words is "one trillion, nine hundred thirty-six billion, six million, four hundred sixty-one thousand, six hundred".