63827870400 has 1890 divisors, whose sum is σ = 300317588340. Its totient is φ = 13220444160.

The previous prime is 63827870383. The next prime is 63827870521. The reversal of 63827870400 is 407872836.

It is a happy number.

63827870400 is a `hidden beast` number, since 638 + 2 + 7 + 8 + 7 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1890).

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

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 2775124789 + ... + 2775124811.

Almost surely, 2^63827870400 is an apocalyptic number.

63827870400 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 63827870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150158794170).

63827870400 is an abundant number, since it is smaller than the sum of its proper divisors (236489717940).

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

63827870400 is a wasteful number, since it uses less digits than its factorization.

63827870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 63827870400 in words is "sixty-three billion, eight hundred twenty-seven million, eight hundred seventy thousand, four hundred".