73281761280 has 1248 divisors, whose sum is σ = 332308738944. Its totient is φ = 14495514624.

The previous prime is 73281761261. The next prime is 73281761281. The reversal of 73281761280 is 8216718237.

73281761280 is a `hidden beast` number, since 7 + 3 + 28 + 1 + 7 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 (73281761281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285142912 + ... + 285143168.

It is an arithmetic number, because the mean of its divisors is an integer number (266273028).

Almost surely, 2^73281761280 is an apocalyptic number.

73281761280 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 73281761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166154369472).

73281761280 is an abundant number, since it is smaller than the sum of its proper divisors (259026977664).

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

73281761280 is a wasteful number, since it uses less digits than its factorization.

73281761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 73281761280 in words is "seventy-three billion, two hundred eighty-one million, seven hundred sixty-one thousand, two hundred eighty".