63777793472120 has 512 divisors, whose sum is σ = 186365104128000. Its totient is φ = 19498674585600.

The previous prime is 63777793472119. The next prime is 63777793472269. The reversal of 63777793472120 is 2127439777736.

63777793472120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3190315325 + ... + 3190335315.

It is an arithmetic number, because the mean of its divisors is an integer number (363994344000).

Almost surely, 2^{63777793472120} 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 63777793472120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93182552064000).

63777793472120 is an abundant number, since it is smaller than the sum of its proper divisors (122587310655880).

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

63777793472120 is a wasteful number, since it uses less digits than its factorization.

63777793472120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20644 (or 20626 counting only the distinct ones).

The product of its (nonzero) digits is 130691232, while the sum is 65.

The spelling of 63777793472120 in words is "sixty-three trillion, seven hundred seventy-seven billion, seven hundred ninety-three million, four hundred seventy-two thousand, one hundred twenty".