63443867400 has 576 divisors, whose sum is σ = 235173229200. Its totient is φ = 15261696000.

The previous prime is 63443867351. The next prime is 63443867407. The reversal of 63443867400 is 476834436.

63443867400 is a `hidden beast` number, since 63 + 443 + 86 + 74 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 16785275364 + 46658592036 = 129558^2 + 216006^2 .

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

It is not an unprimeable number, because it can be changed into a prime (63443867407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76530186 + ... + 76531014.

Almost surely, 2^63443867400 is an apocalyptic number.

63443867400 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 63443867400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117586614600).

63443867400 is an abundant number, since it is smaller than the sum of its proper divisors (171729361800).

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

63443867400 is a wasteful number, since it uses less digits than its factorization.

63443867400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 63443867400 in words is "sixty-three billion, four hundred forty-three million, eight hundred sixty-seven thousand, four hundred".