73826258688 has 432 divisors, whose sum is σ = 263322142720. Its totient is φ = 19371073536.

The previous prime is 73826258687. The next prime is 73826258713. The reversal of 73826258688 is 88685262837.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73826258687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 46754283 + ... + 46755861.

Almost surely, 2^73826258688 is an apocalyptic number.

73826258688 is a gapful number since it is divisible by the number (78) 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 73826258688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131661071360).

73826258688 is an abundant number, since it is smaller than the sum of its proper divisors (189495884032).

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

73826258688 is a wasteful number, since it uses less digits than its factorization.

73826258688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1827 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 73826258688 in words is "seventy-three billion, eight hundred twenty-six million, two hundred fifty-eight thousand, six hundred eighty-eight".