63898127462400 has 2496 divisors, whose sum is σ = 278183659392000. Its totient is φ = 12812943360000.

The previous prime is 63898127462381. The next prime is 63898127462537. The reversal of 63898127462400 is 426472189836.

It is a super-2 number, since 2×63898127462400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33612901450 + ... + 33612903350.

Almost surely, 2^{63898127462400} is an apocalyptic number.

63898127462400 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 63898127462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139091829696000).

63898127462400 is an abundant number, since it is smaller than the sum of its proper divisors (214285531929600).

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

63898127462400 is a wasteful number, since it uses less digits than its factorization.

63898127462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 63898127462400 in words is "sixty-three trillion, eight hundred ninety-eight billion, one hundred twenty-seven million, four hundred sixty-two thousand, four hundred".