73023536327040 has 1280 divisors, whose sum is σ = 288780459992640. Its totient is φ = 17468006400000.

The previous prime is 73023536327017. The next prime is 73023536327087. The reversal of 73023536327040 is 4072363532037.

It is a happy number.

73023536327040 is a `hidden beast` number, since 7 + 3 + 0 + 2 + 3 + 5 + 3 + 632 + 7 + 0 + 4 + 0 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32440485915 + ... + 32440488165.

Almost surely, 2^{73023536327040} 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 73023536327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144390229996320).

73023536327040 is an abundant number, since it is smaller than the sum of its proper divisors (215756923665600).

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

73023536327040 is a wasteful number, since it uses less digits than its factorization.

73023536327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 45.

Adding to 73023536327040 its reverse (4072363532037), we get a palindrome (77095899859077).

The spelling of 73023536327040 in words is "seventy-three trillion, twenty-three billion, five hundred thirty-six million, three hundred twenty-seven thousand, forty".