73737067040 has 192 divisors, whose sum is σ = 217427535360. Its totient is φ = 23007559680.

The previous prime is 73737067039. The next prime is 73737067043. The reversal of 73737067040 is 4076073737.

It is a super-2 number, since 2×73737067040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73737066982 and 73737067000.

It is not an unprimeable number, because it can be changed into a prime (73737067043) 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 31 ways as a sum of consecutive naturals, for example, 998096 + ... + 1069424.

It is an arithmetic number, because the mean of its divisors is an integer number (1132435080).

Almost surely, 2^73737067040 is an apocalyptic number.

73737067040 is a gapful number since it is divisible by the number (70) 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 73737067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108713767680).

73737067040 is an abundant number, since it is smaller than the sum of its proper divisors (143690468320).

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

73737067040 is a wasteful number, since it uses less digits than its factorization.

73737067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71435 (or 71427 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 44.

The spelling of 73737067040 in words is "seventy-three billion, seven hundred thirty-seven million, sixty-seven thousand, forty".