73337886720 has 576 divisors, whose sum is σ = 294368256000. Its totient is φ = 16539254784.

The previous prime is 73337886703. The next prime is 73337886731. The reversal of 73337886720 is 2768873337.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×73337886720³ (a number of 34 digits) contains 333 as substring.

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, 50963761 + ... + 50965199.

It is an arithmetic number, because the mean of its divisors is an integer number (511056000).

Almost surely, 2^73337886720 is an apocalyptic number.

73337886720 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 73337886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147184128000).

73337886720 is an abundant number, since it is smaller than the sum of its proper divisors (221030369280).

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

73337886720 is a wasteful number, since it uses less digits than its factorization.

73337886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 73337886720 in words is "seventy-three billion, three hundred thirty-seven million, eight hundred eighty-six thousand, seven hundred twenty".