73146620160 has 288 divisors, whose sum is σ = 266588945280. Its totient is φ = 18978250752.

The previous prime is 73146620119. The next prime is 73146620167. The reversal of 73146620160 is 6102664137.

It is a happy number.

73146620160 is a `hidden beast` number, since 7 + 3 + 14 + 6 + 620 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73146620167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250119 + ... + 1307321.

It is an arithmetic number, because the mean of its divisors is an integer number (925656060).

Almost surely, 2^73146620160 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 73146620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133294472640).

73146620160 is an abundant number, since it is smaller than the sum of its proper divisors (193442325120).

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

73146620160 is a wasteful number, since it uses less digits than its factorization.

73146620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57270 (or 57250 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 73146620160 in words is "seventy-three billion, one hundred forty-six million, six hundred twenty thousand, one hundred sixty".