73513440000 has 2880 divisors, whose sum is σ = 386192378880. Its totient is φ = 13271040000.

The previous prime is 73513439957. The next prime is 73513440001. The reversal of 73513440000 is 4431537.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73513440001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4324319992 + ... + 4324320008.

It is an arithmetic number, because the mean of its divisors is an integer number (134094576).

Almost surely, 2^73513440000 is an apocalyptic number.

73513440000 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 73513440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193096189440).

73513440000 is an abundant number, since it is smaller than the sum of its proper divisors (312678938880).

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

73513440000 is a wasteful number, since it uses less digits than its factorization.

73513440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 73513440000 its reverse (4431537), we get a palindrome (73517871537).

The spelling of 73513440000 in words is "seventy-three billion, five hundred thirteen million, four hundred forty thousand".