1642590906840 has 576 divisors, whose sum is σ = 6184849507200. Its totient is φ = 375704469504.

The previous prime is 1642590906811. The next prime is 1642590906841. The reversal of 1642590906840 is 486090952461.

1642590906840 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 590 + 9 + 0 + 6 + 8 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642590906841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106841394 + ... + 106856766.

It is an arithmetic number, because the mean of its divisors is an integer number (10737585950).

Almost surely, 2^{1642590906840} is an apocalyptic number.

1642590906840 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 1642590906840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092424753600).

1642590906840 is an abundant number, since it is smaller than the sum of its proper divisors (4542258600360).

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

1642590906840 is a wasteful number, since it uses less digits than its factorization.

1642590906840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15516 (or 15492 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1642590906840 in words is "one trillion, six hundred forty-two billion, five hundred ninety million, nine hundred six thousand, eight hundred forty".