73375438080 has 1152 divisors, whose sum is σ = 301988736000. Its totient is φ = 15105785856.

The previous prime is 73375438079. The next prime is 73375438093. The reversal of 73375438080 is 8083457337.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 649340104 + ... + 649340216.

It is an arithmetic number, because the mean of its divisors is an integer number (262143000).

Almost surely, 2^73375438080 is an apocalyptic number.

73375438080 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 73375438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994368000).

73375438080 is an abundant number, since it is smaller than the sum of its proper divisors (228613297920).

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

73375438080 is a wasteful number, since it uses less digits than its factorization.

73375438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 73375438080 in words is "seventy-three billion, three hundred seventy-five million, four hundred thirty-eight thousand, eighty".