73675284480 has 896 divisors, whose sum is σ = 310024028160. Its totient is φ = 16243752960.

The previous prime is 73675284443. The next prime is 73675284481. The reversal of 73675284480 is 8448257637.

73675284480 is a `hidden beast` number, since 7 + 36 + 7 + 52 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is not an unprimeable number, because it can be changed into a prime (73675284481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239984487 + ... + 239984793.

It is an arithmetic number, because the mean of its divisors is an integer number (346008960).

Almost surely, 2^73675284480 is an apocalyptic number.

73675284480 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 73675284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155012014080).

73675284480 is an abundant number, since it is smaller than the sum of its proper divisors (236348743680).

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

73675284480 is a wasteful number, since it uses less digits than its factorization.

73675284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 73675284480 in words is "seventy-three billion, six hundred seventy-five million, two hundred eighty-four thousand, four hundred eighty".