1642938880 has 160 divisors (see below), whose sum is σ = 4405218048. Its totient is φ = 582451200.

The previous prime is 1642938877. The next prime is 1642938887. The reversal of 1642938880 is 888392461.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×1642938880³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1642938887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153849 + ... + 1155271.

Almost surely, 2^1642938880 is an apocalyptic number.

1642938880 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 1642938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202609024).

1642938880 is an abundant number, since it is smaller than the sum of its proper divisors (2762279168).

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

1642938880 is a wasteful number, since it uses less digits than its factorization.

1642938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The square root of 1642938880 is about 40533.1824558595. The cubic root of 1642938880 is about 1179.9777071341.

The spelling of 1642938880 in words is "one billion, six hundred forty-two million, nine hundred thirty-eight thousand, eight hundred eighty".