73018790208 has 504 divisors, whose sum is σ = 264427118592. Its totient is φ = 19093874688.

The previous prime is 73018790171. The next prime is 73018790213. The reversal of 73018790208 is 80209781037.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46597041 + ... + 46598607.

Almost surely, 2^73018790208 is an apocalyptic number.

73018790208 is a gapful number since it is divisible by the number (78) 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 73018790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132213559296).

73018790208 is an abundant number, since it is smaller than the sum of its proper divisors (191408328384).

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

73018790208 is a wasteful number, since it uses less digits than its factorization.

73018790208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 73018790208 in words is "seventy-three billion, eighteen million, seven hundred ninety thousand, two hundred eight".