73389746243520 has 672 divisors, whose sum is σ = 299677262976000. Its totient is φ = 16746720067584.

The previous prime is 73389746243449. The next prime is 73389746243533. The reversal of 73389746243520 is 2534264798337.

73389746243520 is a `hidden beast` number, since 7 + 3 + 3 + 8 + 9 + 7 + 4 + 62 + 43 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×73389746243520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325935136 + ... + 326160224.

It is an arithmetic number, because the mean of its divisors is an integer number (445948308000).

Almost surely, 2^{73389746243520} is an apocalyptic number.

73389746243520 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 73389746243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149838631488000).

73389746243520 is an abundant number, since it is smaller than the sum of its proper divisors (226287516732480).

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

73389746243520 is a wasteful number, since it uses less digits than its factorization.

73389746243520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225727 (or 225705 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 73389746243520 in words is "seventy-three trillion, three hundred eighty-nine billion, seven hundred forty-six million, two hundred forty-three thousand, five hundred twenty".