73479800160 has 768 divisors, whose sum is σ = 291610368000. Its totient is φ = 17145520128.

The previous prime is 73479800153. The next prime is 73479800201. The reversal of 73479800160 is 6100897437.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 127 ways as a sum of consecutive naturals, for example, 210543666 + ... + 210544014.

It is an arithmetic number, because the mean of its divisors is an integer number (379701000).

Almost surely, 2^73479800160 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 73479800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145805184000).

73479800160 is an abundant number, since it is smaller than the sum of its proper divisors (218130567840).

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

73479800160 is a wasteful number, since it uses less digits than its factorization.

73479800160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 73479800160 in words is "seventy-three billion, four hundred seventy-nine million, eight hundred thousand, one hundred sixty".