73418683632 has 240 divisors, whose sum is σ = 232332963072. Its totient is φ = 19565199360.

The previous prime is 73418683627. The next prime is 73418683633. The reversal of 73418683632 is 23638681437.

It is a super-2 number, since 2×73418683632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73418683633) 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, 10969407 + ... + 10976097.

Almost surely, 2^73418683632 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 73418683632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116166481536).

73418683632 is an abundant number, since it is smaller than the sum of its proper divisors (158914279440).

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

73418683632 is a wasteful number, since it uses less digits than its factorization.

73418683632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6833 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 73418683632 in words is "seventy-three billion, four hundred eighteen million, six hundred eighty-three thousand, six hundred thirty-two".