73853088768 has 616 divisors, whose sum is σ = 240562129920. Its totient is φ = 22574039040.

The previous prime is 73853088767. The next prime is 73853088851. The reversal of 73853088768 is 86788035837.

73853088768 is a `hidden beast` number, since 7 + 38 + 530 + 8 + 8 + 7 + 68 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73853088767) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 581520321 + ... + 581520447.

Almost surely, 2^73853088768 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 73853088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120281064960).

73853088768 is an abundant number, since it is smaller than the sum of its proper divisors (166709041152).

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

73853088768 is a wasteful number, since it uses less digits than its factorization.

73853088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 73853088768 in words is "seventy-three billion, eight hundred fifty-three million, eighty-eight thousand, seven hundred sixty-eight".