73866764160 has 1280 divisors, whose sum is σ = 317345402880. Its totient is φ = 16024780800.

The previous prime is 73866764159. The next prime is 73866764177. The reversal of 73866764160 is 6146766837.

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

It is a junction number, because it is equal to n+sod(n) for n = 73866764097 and 73866764106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1040376925 + ... + 1040376995.

It is an arithmetic number, because the mean of its divisors is an integer number (247926096).

Almost surely, 2^73866764160 is an apocalyptic number.

73866764160 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 73866764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158672701440).

73866764160 is an abundant number, since it is smaller than the sum of its proper divisors (243478638720).

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

73866764160 is a wasteful number, since it uses less digits than its factorization.

73866764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 73866764160 in words is "seventy-three billion, eight hundred sixty-six million, seven hundred sixty-four thousand, one hundred sixty".