1959879680 has 352 divisors, whose sum is σ = 5730289920. Its totient is φ = 634388480.

The previous prime is 1959879661. The next prime is 1959879707. The reversal of 1959879680 is 869789591.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1959879680² = 7682256720153804800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22021076 + ... + 22021164.

Almost surely, 2^1959879680 is an apocalyptic number.

1959879680 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 1959879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865144960).

1959879680 is an abundant number, since it is smaller than the sum of its proper divisors (3770410240).

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

1959879680 is a wasteful number, since it uses less digits than its factorization.

1959879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 62.

The square root of 1959879680 is about 44270.5283456161. The cubic root of 1959879680 is about 1251.4393404032.

The spelling of 1959879680 in words is "one billion, nine hundred fifty-nine million, eight hundred seventy-nine thousand, six hundred eighty".