1872876487680 has 2112 divisors, whose sum is σ = 7903555430400. Its totient is φ = 418966732800.

The previous prime is 1872876487633. The next prime is 1872876487709. The reversal of 1872876487680 is 867846782781.

It is a happy number.

1872876487680 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 87 + 6 + 487 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1872876487599 and 1872876487608.

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 191 ways as a sum of consecutive naturals, for example, 22564776919 + ... + 22564777001.

Almost surely, 2^{1872876487680} is an apocalyptic number.

1872876487680 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 1872876487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951777715200).

1872876487680 is an abundant number, since it is smaller than the sum of its proper divisors (6030678942720).

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

1872876487680 is a wasteful number, since it uses less digits than its factorization.

1872876487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 72.

The spelling of 1872876487680 in words is "one trillion, eight hundred seventy-two billion, eight hundred seventy-six million, four hundred eighty-seven thousand, six hundred eighty".