73187815680 has 720 divisors, whose sum is σ = 309040241664. Its totient is φ = 16184033280.

The previous prime is 73187815637. The next prime is 73187815747. The reversal of 73187815680 is 8651878137.

It is a happy number.

73187815680 is a `hidden beast` number, since 7 + 3 + 1 + 8 + 78 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 22496934 + ... + 22500186.

Almost surely, 2^73187815680 is an apocalyptic number.

73187815680 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 73187815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154520120832).

73187815680 is an abundant number, since it is smaller than the sum of its proper divisors (235852425984).

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

73187815680 is a wasteful number, since it uses less digits than its factorization.

73187815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 73187815680 in words is "seventy-three billion, one hundred eighty-seven million, eight hundred fifteen thousand, six hundred eighty".