73456633344 has 320 divisors, whose sum is σ = 213062648832. Its totient is φ = 22403481600.

The previous prime is 73456633321. The next prime is 73456633351. The reversal of 73456633344 is 44333665437.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 73456633293 and 73456633302.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 170432809 + ... + 170433239.

Almost surely, 2^73456633344 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 73456633344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106531324416).

73456633344 is an abundant number, since it is smaller than the sum of its proper divisors (139606015488).

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

73456633344 is a wasteful number, since it uses less digits than its factorization.

73456633344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 621 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 48.

The spelling of 73456633344 in words is "seventy-three billion, four hundred fifty-six million, six hundred thirty-three thousand, three hundred forty-four".