73360023840 has 384 divisors, whose sum is σ = 272408209920. Its totient is φ = 18375081984.

The previous prime is 73360023833. The next prime is 73360023901. The reversal of 73360023840 is 4832006337.

73360023840 is a `hidden beast` number, since 7 + 3 + 3 + 600 + 2 + 3 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73360023795 and 73360023804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71015964 + ... + 71016996.

It is an arithmetic number, because the mean of its divisors is an integer number (709396380).

Almost surely, 2^73360023840 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 73360023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136204104960).

73360023840 is an abundant number, since it is smaller than the sum of its proper divisors (199048186080).

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

73360023840 is a wasteful number, since it uses less digits than its factorization.

73360023840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 73360023840 in words is "seventy-three billion, three hundred sixty million, twenty-three thousand, eight hundred forty".