638424763200 has 3024 divisors, whose sum is σ = 3011231268864. Its totient is φ = 132204441600.

The previous prime is 638424763199. The next prime is 638424763267. The reversal of 638424763200 is 2367424836.

638424763200 is a `hidden beast` number, since 6 + 3 + 8 + 4 + 2 + 4 + 7 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13583505577 + ... + 13583505623.

It is an arithmetic number, because the mean of its divisors is an integer number (995777536).

Almost surely, 2^638424763200 is an apocalyptic number.

638424763200 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 638424763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505615634432).

638424763200 is an abundant number, since it is smaller than the sum of its proper divisors (2372806505664).

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

638424763200 is a wasteful number, since it uses less digits than its factorization.

638424763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

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

The spelling of 638424763200 in words is "six hundred thirty-eight billion, four hundred twenty-four million, seven hundred sixty-three thousand, two hundred".