73638128160 has 384 divisors, whose sum is σ = 266329244160. Its totient is φ = 18988535808.

The previous prime is 73638128119. The next prime is 73638128177. The reversal of 73638128160 is 6182183637.

73638128160 is a `hidden beast` number, since 7 + 3 + 638 + 1 + 2 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27650989 + ... + 27653651.

It is an arithmetic number, because the mean of its divisors is an integer number (693565740).

Almost surely, 2^73638128160 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 73638128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133164622080).

73638128160 is an abundant number, since it is smaller than the sum of its proper divisors (192691116000).

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

73638128160 is a wasteful number, since it uses less digits than its factorization.

73638128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 73638128160 in words is "seventy-three billion, six hundred thirty-eight million, one hundred twenty-eight thousand, one hundred sixty".