66987031104 has 280 divisors, whose sum is σ = 238884317760. Its totient is φ = 18131641344.

The previous prime is 66987031087. The next prime is 66987031109. The reversal of 66987031104 is 40113078966.

It is a happy number.

It is a super-2 number, since 2×66987031104² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66987031104.

It is not an unprimeable number, because it can be changed into a prime (66987031109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 640894 + ... + 738050.

Almost surely, 2^66987031104 is an apocalyptic number.

66987031104 is a gapful number since it is divisible by the number (64) 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 66987031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119442158880).

66987031104 is an abundant number, since it is smaller than the sum of its proper divisors (171897286656).

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

66987031104 is a wasteful number, since it uses less digits than its factorization.

66987031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97207 (or 97188 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 66987031104 in words is "sixty-six billion, nine hundred eighty-seven million, thirty-one thousand, one hundred four".