73363415040 has 224 divisors, whose sum is σ = 260835708960. Its totient is φ = 19563282432.

The previous prime is 73363415009. The next prime is 73363415159. The reversal of 73363415040 is 4051436337.

73363415040 is a `hidden beast` number, since 7 + 3 + 3 + 634 + 15 + 0 + 4 + 0 = 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 = 73363414986 and 73363415004.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1072752 + ... + 1139088.

Almost surely, 2^73363415040 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 73363415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130417854480).

73363415040 is an abundant number, since it is smaller than the sum of its proper divisors (187472293920).

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

73363415040 is an equidigital number, since it uses as much as digits as its factorization.

73363415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66377 (or 66347 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 73363415040 in words is "seventy-three billion, three hundred sixty-three million, four hundred fifteen thousand, forty".