66234299040000 has 2160 divisors, whose sum is σ = 294954429369600. Its totient is φ = 13915348992000.

The previous prime is 66234299039981. The next prime is 66234299040017. The reversal of 66234299040000 is 4099243266.

66234299040000 is a `hidden beast` number, since 6 + 6 + 234 + 2 + 9 + 9 + 0 + 400 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35249759061 + ... + 35249760939.

It is an arithmetic number, because the mean of its divisors is an integer number (136552976560).

Almost surely, 2^{66234299040000} is an apocalyptic number.

66234299040000 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 66234299040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147477214684800).

66234299040000 is an abundant number, since it is smaller than the sum of its proper divisors (228720130329600).

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

66234299040000 is a wasteful number, since it uses less digits than its factorization.

66234299040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 66234299040000 in words is "sixty-six trillion, two hundred thirty-four billion, two hundred ninety-nine million, forty thousand".