63266706072000 has 896 divisors, whose sum is σ = 238046847816960. Its totient is φ = 16441159680000.

The previous prime is 63266706071969. The next prime is 63266706072007. The reversal of 63266706072000 is 27060766236.

63266706072000 is a `hidden beast` number, since 6 + 32 + 6 + 6 + 7 + 0 + 607 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63266706072007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9041972502 + ... + 9041979498.

It is an arithmetic number, because the mean of its divisors is an integer number (265677285510).

Almost surely, 2^{63266706072000} is an apocalyptic number.

63266706072000 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 63266706072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119023423908480).

63266706072000 is an abundant number, since it is smaller than the sum of its proper divisors (174780141744960).

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

63266706072000 is a wasteful number, since it uses less digits than its factorization.

63266706072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 63266706072000 in words is "sixty-three trillion, two hundred sixty-six billion, seven hundred six million, seventy-two thousand".