66329407146240 has 2304 divisors, whose sum is σ = 281784947834880. Its totient is φ = 14457139200000.

The previous prime is 66329407146217. The next prime is 66329407146257. The reversal of 66329407146240 is 4264170492366.

66329407146240 is a `hidden beast` number, since 6 + 6 + 3 + 2 + 9 + 4 + 0 + 7 + 1 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×66329407146240² (a number of 28 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 264260586115 + ... + 264260586365.

It is an arithmetic number, because the mean of its divisors is an integer number (122302494720).

Almost surely, 2^{66329407146240} is an apocalyptic number.

66329407146240 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 66329407146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140892473917440).

66329407146240 is an abundant number, since it is smaller than the sum of its proper divisors (215455540688640).

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

66329407146240 is a wasteful number, since it uses less digits than its factorization.

66329407146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 66329407146240 in words is "sixty-six trillion, three hundred twenty-nine billion, four hundred seven million, one hundred forty-six thousand, two hundred forty".