63867398400 has 891 divisors, whose sum is σ = 256764535419. Its totient is φ = 15721205760.

The previous prime is 63867398393. The next prime is 63867398443. The reversal of 63867398400 is 489376836.

The square root of 63867398400 is 252720.

It is a perfect power (a square), and thus also a powerful number.

63867398400 is a `hidden beast` number, since 6 + 3 + 86 + 73 + 98 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16461916416 + 47405481984 = 128304^2 + 217728^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 98 ways as a sum of consecutive naturals, for example, 4912876794 + ... + 4912876806.

Almost surely, 2^63867398400 is an apocalyptic number.

63867398400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

63867398400 is the 252720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63867398400

63867398400 is an abundant number, since it is smaller than the sum of its proper divisors (192897137019).

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

63867398400 is an frugal number, since it uses more digits than its factorization.

63867398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 63867398400 in words is "sixty-three billion, eight hundred sixty-seven million, three hundred ninety-eight thousand, four hundred".