73888512768 has 864 divisors, whose sum is σ = 276571350720. Its totient is φ = 19322634240.

The previous prime is 73888512689. The next prime is 73888512773. The reversal of 73888512768 is 86721588837.

73888512768 is a `hidden beast` number, since 7 + 38 + 88 + 512 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 95 ways as a sum of consecutive naturals, for example, 236065380 + ... + 236065692.

It is an arithmetic number, because the mean of its divisors is an integer number (320105730).

Almost surely, 2^73888512768 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 73888512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138285675360).

73888512768 is an abundant number, since it is smaller than the sum of its proper divisors (202682837952).

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

73888512768 is a wasteful number, since it uses less digits than its factorization.

73888512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 383 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 73888512768 in words is "seventy-three billion, eight hundred eighty-eight million, five hundred twelve thousand, seven hundred sixty-eight".