73422352742544 has 960 divisors, whose sum is σ = 248238774558720. Its totient is φ = 20685181870080.

The previous prime is 73422352742513. The next prime is 73422352742551. The reversal of 73422352742544 is 44524725322437.

73422352742544 is a `hidden beast` number, since 7 + 3 + 4 + 2 + 2 + 3 + 52 + 7 + 42 + 544 = 666.

It is a super-3 number, since 3×73422352742544³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14036004409 + ... + 14036009639.

It is an arithmetic number, because the mean of its divisors is an integer number (258582056832).

Almost surely, 2^{73422352742544} 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 73422352742544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124119387279360).

73422352742544 is an abundant number, since it is smaller than the sum of its proper divisors (174816421816176).

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

73422352742544 is a wasteful number, since it uses less digits than its factorization.

73422352742544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5572 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 54.

The spelling of 73422352742544 in words is "seventy-three trillion, four hundred twenty-two billion, three hundred fifty-two million, seven hundred forty-two thousand, five hundred forty-four".