73708348800 has 192 divisors, whose sum is σ = 251149438800. Its totient is φ = 18977710080.

The previous prime is 73708348793. The next prime is 73708348823. The reversal of 73708348800 is 884380737.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×73708348800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73708348800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146022 + ... + 410778.

Almost surely, 2^73708348800 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 73708348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125574719400).

73708348800 is an abundant number, since it is smaller than the sum of its proper divisors (177441090000).

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

73708348800 is a wasteful number, since it uses less digits than its factorization.

73708348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264813 (or 264796 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 73708348800 in words is "seventy-three billion, seven hundred eight million, three hundred forty-eight thousand, eight hundred".