73103264640 has 1152 divisors, whose sum is σ = 311984356320. Its totient is φ = 16303472640.

The previous prime is 73103264569. The next prime is 73103264657. The reversal of 73103264640 is 4646230137.

It is a happy number.

73103264640 is a `hidden beast` number, since 7 + 3 + 1 + 0 + 3 + 2 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73103264595 and 73103264604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 403885350 + ... + 403885530.

Almost surely, 2^73103264640 is an apocalyptic number.

73103264640 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 73103264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155992178160).

73103264640 is an abundant number, since it is smaller than the sum of its proper divisors (238881091680).

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

73103264640 is a wasteful number, since it uses less digits than its factorization.

73103264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 73103264640 its reverse (4646230137), we get a palindrome (77749494777).

The spelling of 73103264640 in words is "seventy-three billion, one hundred three million, two hundred sixty-four thousand, six hundred forty".