73480553372160 has 1440 divisors, whose sum is σ = 303754454917056. Its totient is φ = 16223875891200.

The previous prime is 73480553372137. The next prime is 73480553372167. The reversal of 73480553372160 is 6127335508437.

73480553372160 is a `hidden beast` number, since 7 + 3 + 4 + 8 + 0 + 553 + 3 + 7 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 73480553372097 and 73480553372106.

It is not an unprimeable number, because it can be changed into a prime (73480553372167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4140440407 + ... + 4140458153.

Almost surely, 2^{73480553372160} 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 73480553372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151877227458528).

73480553372160 is an abundant number, since it is smaller than the sum of its proper divisors (230273901544896).

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

73480553372160 is a wasteful number, since it uses less digits than its factorization.

73480553372160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17866 (or 17816 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 73480553372160 in words is "seventy-three trillion, four hundred eighty billion, five hundred fifty-three million, three hundred seventy-two thousand, one hundred sixty".