73415393280 has 432 divisors, whose sum is σ = 264504384144. Its totient is φ = 19534970880.

The previous prime is 73415393267. The next prime is 73415393281. The reversal of 73415393280 is 8239351437.

73415393280 is a `hidden beast` number, since 7 + 3 + 4 + 1 + 539 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73415393281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159252250 + ... + 159252710.

It is an arithmetic number, because the mean of its divisors is an integer number (612278667).

Almost surely, 2^73415393280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73415393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132252192072).

73415393280 is an abundant number, since it is smaller than the sum of its proper divisors (191088990864).

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

73415393280 is an frugal number, since it uses more digits than its factorization.

73415393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 73415393280 in words is "seventy-three billion, four hundred fifteen million, three hundred ninety-three thousand, two hundred eighty".