1642912640 has 256 divisors, whose sum is σ = 4441651200. Its totient is φ = 578027520.

The previous prime is 1642912633. The next prime is 1642912651. The reversal of 1642912640 is 462192461.

It is a self number, because there is not a number n which added to its sum of digits gives 1642912640.

It is a congruent number.

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, 12936257 + ... + 12936383.

It is an arithmetic number, because the mean of its divisors is an integer number (17350200).

Almost surely, 2^1642912640 is an apocalyptic number.

1642912640 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 1642912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220825600).

1642912640 is an abundant number, since it is smaller than the sum of its proper divisors (2798738560).

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

1642912640 is a wasteful number, since it uses less digits than its factorization.

1642912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 1642912640 is about 40532.8587691517. The cubic root of 1642912640 is about 1179.9714251435.

The spelling of 1642912640 in words is "one billion, six hundred forty-two million, nine hundred twelve thousand, six hundred forty".