73323502560 has 1152 divisors, whose sum is σ = 333980236800. Its totient is φ = 14689382400.

The previous prime is 73323502543. The next prime is 73323502597. The reversal of 73323502560 is 6520532337.

73323502560 is a `hidden beast` number, since 73 + 3 + 23 + 5 + 0 + 2 + 560 = 666.

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

It is a congruent number.

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, 106111815 + ... + 106112505.

It is an arithmetic number, because the mean of its divisors is an integer number (289913400).

Almost surely, 2^73323502560 is an apocalyptic number.

73323502560 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 73323502560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166990118400).

73323502560 is an abundant number, since it is smaller than the sum of its proper divisors (260656734240).

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

73323502560 is a wasteful number, since it uses less digits than its factorization.

73323502560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 73323502560 in words is "seventy-three billion, three hundred twenty-three million, five hundred two thousand, five hundred sixty".