63427106949120 has 576 divisors, whose sum is σ = 226940362936560. Its totient is φ = 16371324813312.

The previous prime is 63427106949119. The next prime is 63427106949121. The reversal of 63427106949120 is 2194960172436.

63427106949120 is a `hidden beast` number, since 6 + 3 + 4 + 2 + 71 + 0 + 69 + 491 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (63427106949119) and next prime (63427106949121).

It can be written as a sum of positive squares in 8 ways, for example, as 42086254961664 + 21340851987456 = 6487392^2 + 4619616^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×63427106949120³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (63427106949121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658066372 + ... + 658162748.

Almost surely, 2^{63427106949120} is an apocalyptic number.

63427106949120 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 63427106949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113470181468280).

63427106949120 is an abundant number, since it is smaller than the sum of its proper divisors (163513255987440).

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

63427106949120 is a wasteful number, since it uses less digits than its factorization.

63427106949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96640 (or 96617 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 63427106949120 in words is "sixty-three trillion, four hundred twenty-seven billion, one hundred six million, nine hundred forty-nine thousand, one hundred twenty".