73982185920 has 448 divisors, whose sum is σ = 268701194880. Its totient is φ = 19393966080.

The previous prime is 73982185897. The next prime is 73982185939. The reversal of 73982185920 is 2958128937.

73982185920 is a `hidden beast` number, since 7 + 39 + 8 + 2 + 18 + 592 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 42689374 + ... + 42691106.

Almost surely, 2^73982185920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73982185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134350597440).

73982185920 is an abundant number, since it is smaller than the sum of its proper divisors (194719008960).

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

73982185920 is an equidigital number, since it uses as much as digits as its factorization.

73982185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 73982185920 in words is "seventy-three billion, nine hundred eighty-two million, one hundred eighty-five thousand, nine hundred twenty".