73002980160 has 560 divisors, whose sum is σ = 288697001472. Its totient is φ = 17360179200.

The previous prime is 73002980143. The next prime is 73002980177. The reversal of 73002980160 is 6108920037.

73002980160 is a `hidden beast` number, since 7 + 300 + 298 + 0 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (73002980143) and next prime (73002980177).

It is a super-2 number, since 2×73002980160² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15108945 + ... + 15113775.

Almost surely, 2^73002980160 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 73002980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144348500736).

73002980160 is an abundant number, since it is smaller than the sum of its proper divisors (215694021312).

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

73002980160 is a wasteful number, since it uses less digits than its factorization.

73002980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 73002980160 in words is "seventy-three billion, two million, nine hundred eighty thousand, one hundred sixty".