63425882872080 has 640 divisors, whose sum is σ = 229263451914240. Its totient is φ = 16096670853120.

The previous prime is 63425882872073. The next prime is 63425882872103. The reversal of 63425882872080 is 8027828852436.

63425882872080 is a `hidden beast` number, since 6 + 3 + 4 + 2 + 588 + 28 + 7 + 20 + 8 + 0 = 666.

It is a super-2 number, since 2×63425882872080² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 63425882871999 and 63425882872017.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2750102629 + ... + 2750125691.

It is an arithmetic number, because the mean of its divisors is an integer number (358224143616).

Almost surely, 2^{63425882872080} is an apocalyptic number.

63425882872080 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 63425882872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114631725957120).

63425882872080 is an abundant number, since it is smaller than the sum of its proper divisors (165837569042160).

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

63425882872080 is a wasteful number, since it uses less digits than its factorization.

63425882872080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23796 (or 23784 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 63425882872080 in words is "sixty-three trillion, four hundred twenty-five billion, eight hundred eighty-two million, eight hundred seventy-two thousand, eighty".