66361513680 has 640 divisors, whose sum is σ = 286610227200. Its totient is φ = 13710643200.

The previous prime is 66361513679. The next prime is 66361513681. The reversal of 66361513680 is 8631516366.

66361513680 is a `hidden beast` number, since 6 + 636 + 1 + 5 + 1 + 3 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66361513679) and next prime (66361513681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66361513681) 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, 31766076 + ... + 31768164.

It is an arithmetic number, because the mean of its divisors is an integer number (447828480).

Almost surely, 2^66361513680 is an apocalyptic number.

66361513680 is a gapful number since it is divisible by the number (60) 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 66361513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143305113600).

66361513680 is an abundant number, since it is smaller than the sum of its proper divisors (220248713520).

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

66361513680 is a wasteful number, since it uses less digits than its factorization.

66361513680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 66361513680 in words is "sixty-six billion, three hundred sixty-one million, five hundred thirteen thousand, six hundred eighty".