1936997646336 has 512 divisors, whose sum is σ = 6143513040000. Its totient is φ = 601337364480.

The previous prime is 1936997646319. The next prime is 1936997646341. The reversal of 1936997646336 is 6336467996391.

1936997646336 is a `hidden beast` number, since 1 + 9 + 3 + 6 + 99 + 76 + 463 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×1936997646336² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025408080 + ... + 1025409968.

Almost surely, 2^{1936997646336} is an apocalyptic number.

1936997646336 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 1936997646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071756520000).

1936997646336 is an abundant number, since it is smaller than the sum of its proper divisors (4206515393664).

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

1936997646336 is an equidigital number, since it uses as much as digits as its factorization.

1936997646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1974 counting only the distinct ones).

The product of its digits is 714256704, while the sum is 72.

The spelling of 1936997646336 in words is "one trillion, nine hundred thirty-six billion, nine hundred ninety-seven million, six hundred forty-six thousand, three hundred thirty-six".