1640960161632 has 288 divisors, whose sum is σ = 5435587213056. Its totient is φ = 464578329600.

The previous prime is 1640960161573. The next prime is 1640960161679. The reversal of 1640960161632 is 2361610690461.

1640960161632 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 9 + 6 + 0 + 1 + 6 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2871282 + ... + 3395022.

It is an arithmetic number, because the mean of its divisors is an integer number (18873566712).

Almost surely, 2^{1640960161632} is an apocalyptic number.

1640960161632 is a gapful number since it is divisible by the number (12) 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 1640960161632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717793606528).

1640960161632 is an abundant number, since it is smaller than the sum of its proper divisors (3794627051424).

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

1640960161632 is a wasteful number, since it uses less digits than its factorization.

1640960161632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523834 (or 523823 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1640960161632 in words is "one trillion, six hundred forty billion, nine hundred sixty million, one hundred sixty-one thousand, six hundred thirty-two".