73785282480 has 1280 divisors, whose sum is σ = 343977984000. Its totient is φ = 14090858496.

The previous prime is 73785282437. The next prime is 73785282509. The reversal of 73785282480 is 8428258737.

73785282480 is a `hidden beast` number, since 7 + 3 + 7 + 85 + 2 + 82 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 85896291 + ... + 85897149.

It is an arithmetic number, because the mean of its divisors is an integer number (268732800).

Almost surely, 2^73785282480 is an apocalyptic number.

73785282480 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 73785282480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171988992000).

73785282480 is an abundant number, since it is smaller than the sum of its proper divisors (270192701520).

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

73785282480 is a wasteful number, since it uses less digits than its factorization.

73785282480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 73785282480 in words is "seventy-three billion, seven hundred eighty-five million, two hundred eighty-two thousand, four hundred eighty".