63429350400 has 990 divisors, whose sum is σ = 255733359882. Its totient is φ = 15527116800.

The previous prime is 63429350393. The next prime is 63429350417. The reversal of 63429350400 is 405392436.

63429350400 is a `hidden beast` number, since 63 + 4 + 2 + 93 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 57692196864 + 5737153536 = 240192^2 + 75744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 350438310 + ... + 350438490.

Almost surely, 2^63429350400 is an apocalyptic number.

63429350400 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 63429350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866679941).

63429350400 is an abundant number, since it is smaller than the sum of its proper divisors (192304009482).

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

63429350400 is a wasteful number, since it uses less digits than its factorization.

63429350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 63429350400 in words is "sixty-three billion, four hundred twenty-nine million, three hundred fifty thousand, four hundred".