73827851328 has 896 divisors, whose sum is σ = 289892597760. Its totient is φ = 17836277760.

The previous prime is 73827851299. The next prime is 73827851329. The reversal of 73827851328 is 82315872837.

73827851328 is a `hidden beast` number, since 7 + 38 + 2 + 78 + 513 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (73827851329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287267776 + ... + 287268032.

Almost surely, 2^73827851328 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 73827851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144946298880).

73827851328 is an abundant number, since it is smaller than the sum of its proper divisors (216064746432).

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

73827851328 is a wasteful number, since it uses less digits than its factorization.

73827851328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 73827851328 in words is "seventy-three billion, eight hundred twenty-seven million, eight hundred fifty-one thousand, three hundred twenty-eight".