1958669680 has 80 divisors (see below), whose sum is σ = 5012116704. Its totient is φ = 705904640.

The previous prime is 1958669677. The next prime is 1958669707. The reversal of 1958669680 is 869668591.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89592 + ... + 109288.

Almost surely, 2^1958669680 is an apocalyptic number.

1958669680 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 1958669680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506058352).

1958669680 is an abundant number, since it is smaller than the sum of its proper divisors (3053447024).

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

1958669680 is a wasteful number, since it uses less digits than its factorization.

1958669680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19834 (or 19828 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 58.

The square root of 1958669680 is about 44256.8602591734. The cubic root of 1958669680 is about 1251.1817474929.

The spelling of 1958669680 in words is "one billion, nine hundred fifty-eight million, six hundred sixty-nine thousand, six hundred eighty".