73523365440 has 448 divisors, whose sum is σ = 271795378176. Its totient is φ = 16492658688.

The previous prime is 73523365373. The next prime is 73523365451. The reversal of 73523365440 is 4456332537.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 73523365392 and 73523365401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107647339 + ... + 107648021.

It is an arithmetic number, because the mean of its divisors is an integer number (606686112).

Almost surely, 2^73523365440 is an apocalyptic number.

73523365440 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 73523365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135897689088).

73523365440 is an abundant number, since it is smaller than the sum of its proper divisors (198272012736).

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

73523365440 is a wasteful number, since it uses less digits than its factorization.

73523365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 42.

Adding to 73523365440 its reverse (4456332537), we get a palindrome (77979697977).

The spelling of 73523365440 in words is "seventy-three billion, five hundred twenty-three million, three hundred sixty-five thousand, four hundred forty".