73652518080 has 896 divisors, whose sum is σ = 290033049600. Its totient is φ = 17517772800.

The previous prime is 73652518063. The next prime is 73652518081. The reversal of 73652518080 is 8081525637.

73652518080 is a `hidden beast` number, since 7 + 3 + 6 + 52 + 518 + 0 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (73652518081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 208647184 + ... + 208647536.

It is an arithmetic number, because the mean of its divisors is an integer number (323697600).

Almost surely, 2^73652518080 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 73652518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145016524800).

73652518080 is an abundant number, since it is smaller than the sum of its proper divisors (216380531520).

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

73652518080 is a wasteful number, since it uses less digits than its factorization.

73652518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 73652518080 in words is "seventy-three billion, six hundred fifty-two million, five hundred eighteen thousand, eighty".