63220619162400 has 432 divisors, whose sum is σ = 239650630502976. Its totient is φ = 14434112071680.

The previous prime is 63220619162381. The next prime is 63220619162471. The reversal of 63220619162400 is 426191602236.

63220619162400 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 (42).

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 71 ways as a sum of consecutive naturals, for example, 104008162 + ... + 104614238.

It is an arithmetic number, because the mean of its divisors is an integer number (554746829868).

Almost surely, 2^{63220619162400} is an apocalyptic number.

63220619162400 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 63220619162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119825315251488).

63220619162400 is an abundant number, since it is smaller than the sum of its proper divisors (176430011340576).

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

63220619162400 is a wasteful number, since it uses less digits than its factorization.

63220619162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607001 (or 606981 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 63220619162400 in words is "sixty-three trillion, two hundred twenty billion, six hundred nineteen million, one hundred sixty-two thousand, four hundred".