63920128345920 has 5376 divisors, whose sum is σ = 317748411187200. Its totient is φ = 11775836160000.

The previous prime is 63920128345883. The next prime is 63920128345921. The reversal of 63920128345920 is 2954382102936.

63920128345920 is a `hidden beast` number, since 6 + 3 + 9 + 2 + 0 + 12 + 8 + 34 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63920128345921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 254661865795 + ... + 254661866045.

It is an arithmetic number, because the mean of its divisors is an integer number (59104987200).

Almost surely, 2^{63920128345920} is an apocalyptic number.

63920128345920 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 63920128345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158874205593600).

63920128345920 is an abundant number, since it is smaller than the sum of its proper divisors (253828282841280).

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

63920128345920 is a wasteful number, since it uses less digits than its factorization.

63920128345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 63920128345920 in words is "sixty-three trillion, nine hundred twenty billion, one hundred twenty-eight million, three hundred forty-five thousand, nine hundred twenty".