1873808968680 has 1536 divisors, whose sum is σ = 7432334807040. Its totient is φ = 404660551680.

The previous prime is 1873808968679. The next prime is 1873808968687. The reversal of 1873808968680 is 868698083781.

1873808968680 is a `hidden beast` number, since 1 + 8 + 7 + 380 + 8 + 96 + 86 + 80 = 666.

It is a super-2 number, since 2×1873808968680² (a number of 25 digits) contains 22 as substring.

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 = 1873808968599 and 1873808968608.

It is not an unprimeable number, because it can be changed into a prime (1873808968687) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9708854664 + ... + 9708854856.

It is an arithmetic number, because the mean of its divisors is an integer number (4838759640).

Almost surely, 2^{1873808968680} is an apocalyptic number.

1873808968680 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 1873808968680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716167403520).

1873808968680 is an abundant number, since it is smaller than the sum of its proper divisors (5558525838360).

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

1873808968680 is a wasteful number, since it uses less digits than its factorization.

1873808968680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 1873808968680 in words is "one trillion, eight hundred seventy-three billion, eight hundred eight million, nine hundred sixty-eight thousand, six hundred eighty".