1906975304640 has 2016 divisors, whose sum is σ = 8363224344384. Its totient is φ = 396114001920.

The previous prime is 1906975304639. The next prime is 1906975304699. The reversal of 1906975304640 is 464035796091.

1906975304640 is a `hidden beast` number, since 1 + 9 + 0 + 69 + 7 + 530 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12146339442 + ... + 12146339598.

It is an arithmetic number, because the mean of its divisors is an integer number (4148424774).

Almost surely, 2^{1906975304640} is an apocalyptic number.

1906975304640 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 1906975304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181612172192).

1906975304640 is an abundant number, since it is smaller than the sum of its proper divisors (6456249039744).

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

1906975304640 is a wasteful number, since it uses less digits than its factorization.

1906975304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1906975304640 in words is "one trillion, nine hundred six billion, nine hundred seventy-five million, three hundred four thousand, six hundred forty".