1936934678016 has 640 divisors, whose sum is σ = 6453726935040. Its totient is φ = 569627541504.

The previous prime is 1936934678009. The next prime is 1936934678033. The reversal of 1936934678016 is 6108764396391.

1936934678016 is a `hidden beast` number, since 1 + 9 + 3 + 6 + 93 + 467 + 80 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363195286 + ... + 363200618.

It is an arithmetic number, because the mean of its divisors is an integer number (10083948336).

Almost surely, 2^{1936934678016} is an apocalyptic number.

1936934678016 is a gapful number since it is divisible by the number (16) 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 1936934678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226863467520).

1936934678016 is an abundant number, since it is smaller than the sum of its proper divisors (4516792257024).

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

1936934678016 is a wasteful number, since it uses less digits than its factorization.

1936934678016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 1936934678016 in words is "one trillion, nine hundred thirty-six billion, nine hundred thirty-four million, six hundred seventy-eight thousand, sixteen".