73712810880 has 384 divisors, whose sum is σ = 259397424000. Its totient is φ = 19285475328.

The previous prime is 73712810863. The next prime is 73712810891. The reversal of 73712810880 is 8801821737.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 70945401 + ... + 70946439.

It is an arithmetic number, because the mean of its divisors is an integer number (675514125).

Almost surely, 2^73712810880 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 73712810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129698712000).

73712810880 is an abundant number, since it is smaller than the sum of its proper divisors (185684613120).

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

73712810880 is a wasteful number, since it uses less digits than its factorization.

73712810880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 73712810880 in words is "seventy-three billion, seven hundred twelve million, eight hundred ten thousand, eight hundred eighty".