1879656480 has 576 divisors, whose sum is σ = 7396945920. Its totient is φ = 431308800.

The previous prime is 1879656469. The next prime is 1879656497. The reversal of 1879656480 is 846569781.

1879656480 is a `hidden beast` number, since 1 + 8 + 79 + 6 + 564 + 8 + 0 = 666.

It is a super-3 number, since 3×1879656480³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23793081 + ... + 23793159.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

Almost surely, 2^1879656480 is an apocalyptic number.

1879656480 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 1879656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698472960).

1879656480 is an abundant number, since it is smaller than the sum of its proper divisors (5517289440).

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

1879656480 is a wasteful number, since it uses less digits than its factorization.

1879656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1879656480 is about 43355.0052473760. The cubic root of 1879656480 is about 1234.1259814972.

The spelling of 1879656480 in words is "one billion, eight hundred seventy-nine million, six hundred fifty-six thousand, four hundred eighty".