73226890464 has 288 divisors, whose sum is σ = 241250849280. Its totient is φ = 19276766208.

The previous prime is 73226890409. The next prime is 73226890489. The reversal of 73226890464 is 46409862237.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56198037 + ... + 56199339.

It is an arithmetic number, because the mean of its divisors is an integer number (837676560).

Almost surely, 2^73226890464 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 73226890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120625424640).

73226890464 is an abundant number, since it is smaller than the sum of its proper divisors (168023958816).

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

73226890464 is a wasteful number, since it uses less digits than its factorization.

73226890464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2247 counting only the distinct ones).

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

The spelling of 73226890464 in words is "seventy-three billion, two hundred twenty-six million, eight hundred ninety thousand, four hundred sixty-four".