63420455402436 has 96 divisors (see below), whose sum is σ = 165816489968640. Its totient is φ = 18696703651200.

The previous prime is 63420455402431. The next prime is 63420455402443.

63420455402436 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (63420455402431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40944121 + ... + 42464831.

It is an arithmetic number, because the mean of its divisors is an integer number (1727255103840).

Almost surely, 2^{63420455402436} is an apocalyptic number.

63420455402436 is a gapful number since it is divisible by the number (66) 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 63420455402436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82908244984320).

63420455402436 is an abundant number, since it is smaller than the sum of its proper divisors (102396034566204).

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

63420455402436 is a wasteful number, since it uses less digits than its factorization.

63420455402436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529305 (or 1529303 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 63420455402436 in words is "sixty-three trillion, four hundred twenty billion, four hundred fifty-five million, four hundred two thousand, four hundred thirty-six".