63138398400 has 2352 divisors, whose sum is σ = 313957167360. Its totient is φ = 12093235200.

The previous prime is 63138398387. The next prime is 63138398443. The reversal of 63138398400 is 489383136.

63138398400 is a `hidden beast` number, since 631 + 3 + 8 + 3 + 9 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1706443182 + ... + 1706443218.

Almost surely, 2^63138398400 is an apocalyptic number.

63138398400 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 63138398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156978583680).

63138398400 is an abundant number, since it is smaller than the sum of its proper divisors (250818768960).

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

63138398400 is a wasteful number, since it uses less digits than its factorization.

63138398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 63138398400 in words is "sixty-three billion, one hundred thirty-eight million, three hundred ninety-eight thousand, four hundred".