66132251640 has 384 divisors, whose sum is σ = 273066393600. Its totient is φ = 13502868480.

The previous prime is 66132251629. The next prime is 66132251641. The reversal of 66132251640 is 4615223166.

66132251640 is a `hidden beast` number, since 6 + 6 + 1 + 3 + 2 + 2 + 5 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66132251595 and 66132251604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66132251641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 983001 + ... + 1048119.

It is an arithmetic number, because the mean of its divisors is an integer number (711110400).

Almost surely, 2^66132251640 is an apocalyptic number.

66132251640 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 66132251640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136533196800).

66132251640 is an abundant number, since it is smaller than the sum of its proper divisors (206934141960).

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

66132251640 is a wasteful number, since it uses less digits than its factorization.

66132251640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65187 (or 65180 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 66132251640 in words is "sixty-six billion, one hundred thirty-two million, two hundred fifty-one thousand, six hundred forty".