66046007803104 has 240 divisors, whose sum is σ = 222257751141888. Its totient is φ = 18847355021568.

The previous prime is 66046007803081. The next prime is 66046007803183. The reversal of 66046007803104 is 40130870064066.

It is a happy number.

66046007803104 is a `hidden beast` number, since 6 + 6 + 0 + 4 + 600 + 7 + 8 + 0 + 31 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 66046007803104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12721029 + ... + 17143995.

Almost surely, 2^{66046007803104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66046007803104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111128875570944).

66046007803104 is an abundant number, since it is smaller than the sum of its proper divisors (156211743338784).

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

66046007803104 is a wasteful number, since it uses less digits than its factorization.

66046007803104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423819 (or 4423802 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 66046007803104 in words is "sixty-six trillion, forty-six billion, seven million, eight hundred three thousand, one hundred four".