73985382576 has 360 divisors, whose sum is σ = 264624372480. Its totient is φ = 18846701568.

The previous prime is 73985382553. The next prime is 73985382577. The reversal of 73985382576 is 67528358937.

73985382576 is a `hidden beast` number, since 7 + 3 + 9 + 8 + 53 + 8 + 2 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (73985382577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5528245 + ... + 5541611.

Almost surely, 2^73985382576 is an apocalyptic number.

73985382576 is a gapful number since it is divisible by the number (76) 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 73985382576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312186240).

73985382576 is an abundant number, since it is smaller than the sum of its proper divisors (190638989904).

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

73985382576 is a wasteful number, since it uses less digits than its factorization.

73985382576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441 (or 13415 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 73985382576 in words is "seventy-three billion, nine hundred eighty-five million, three hundred eighty-two thousand, five hundred seventy-six".