1642465880 has 128 divisors (see below), whose sum is σ = 4454714880. Its totient is φ = 537630720.

The previous prime is 1642465879. The next prime is 1642465921. The reversal of 1642465880 is 885642461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167267 + ... + 176813.

It is an arithmetic number, because the mean of its divisors is an integer number (34802460).

Almost surely, 2^1642465880 is an apocalyptic number.

1642465880 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 1642465880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227357440).

1642465880 is an abundant number, since it is smaller than the sum of its proper divisors (2812249000).

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

1642465880 is a wasteful number, since it uses less digits than its factorization.

1642465880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9609 (or 9605 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 1642465880 is about 40527.3473101806. The cubic root of 1642465880 is about 1179.8644582417.

The spelling of 1642465880 in words is "one billion, six hundred forty-two million, four hundred sixty-five thousand, eight hundred eighty".