66492279722880 has 768 divisors, whose sum is σ = 251390668538880. Its totient is φ = 16060821504000.

The previous prime is 66492279722839. The next prime is 66492279722881. The reversal of 66492279722880 is 8822797229466.

66492279722880 is a `hidden beast` number, since 6 + 6 + 4 + 9 + 2 + 279 + 72 + 288 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66492279722799 and 66492279722808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66492279722881) 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, 24526844725 + ... + 24526847435.

It is an arithmetic number, because the mean of its divisors is an integer number (327331599660).

Almost surely, 2^{66492279722880} is an apocalyptic number.

66492279722880 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 66492279722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125695334269440).

66492279722880 is an abundant number, since it is smaller than the sum of its proper divisors (184898388816000).

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

66492279722880 is a wasteful number, since it uses less digits than its factorization.

66492279722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 66492279722880 in words is "sixty-six trillion, four hundred ninety-two billion, two hundred seventy-nine million, seven hundred twenty-two thousand, eight hundred eighty".