1873642533840 has 960 divisors, whose sum is σ = 8218715635200. Its totient is φ = 383967682560.

The previous prime is 1873642533839. The next prime is 1873642533853. The reversal of 1873642533840 is 483352463781.

It is a happy number.

1873642533840 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 6 + 4 + 253 + 384 + 0 = 666.

It is a super-2 number, since 2×1873642533840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133547946 + ... + 133561974.

It is an arithmetic number, because the mean of its divisors is an integer number (8561162120).

Almost surely, 2^{1873642533840} is an apocalyptic number.

1873642533840 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 1873642533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109357817600).

1873642533840 is an abundant number, since it is smaller than the sum of its proper divisors (6345073101360).

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

1873642533840 is a wasteful number, since it uses less digits than its factorization.

1873642533840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14153 (or 14130 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 1873642533840 in words is "one trillion, eight hundred seventy-three billion, six hundred forty-two million, five hundred thirty-three thousand, eight hundred forty".