63720266500800 has 3360 divisors, whose sum is σ = 305814460621824. Its totient is φ = 12645642240000.

The previous prime is 63720266500789. The next prime is 63720266500859. The reversal of 63720266500800 is 800566202736.

It is a happy number.

63720266500800 is a `hidden beast` number, since 6 + 3 + 7 + 2 + 0 + 2 + 66 + 500 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 479 ways as a sum of consecutive naturals, for example, 16546418875 + ... + 16546422725.

Almost surely, 2^{63720266500800} is an apocalyptic number.

63720266500800 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 63720266500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152907230310912).

63720266500800 is an abundant number, since it is smaller than the sum of its proper divisors (242094194121024).

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

63720266500800 is a wasteful number, since it uses less digits than its factorization.

63720266500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 63720266500800 in words is "sixty-three trillion, seven hundred twenty billion, two hundred sixty-six million, five hundred thousand, eight hundred".