1949665536000 has 2304 divisors, whose sum is σ = 9174722618880. Its totient is φ = 386452684800.

The previous prime is 1949665535999. The next prime is 1949665536023. The reversal of 1949665536000 is 6355669491.

1949665536000 is a `hidden beast` number, since 1 + 9 + 49 + 6 + 65 + 536 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3564287727 + ... + 3564288273.

It is an arithmetic number, because the mean of its divisors is an integer number (3982084470).

Almost surely, 2^{1949665536000} is an apocalyptic number.

1949665536000 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 1949665536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587361309440).

1949665536000 is an abundant number, since it is smaller than the sum of its proper divisors (7225057082880).

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

1949665536000 is a wasteful number, since it uses less digits than its factorization.

1949665536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 1949665536000 in words is "one trillion, nine hundred forty-nine billion, six hundred sixty-five million, five hundred thirty-six thousand".