638698867200 has 1440 divisors, whose sum is σ = 2573191805184. Its totient is φ = 156279767040.

The previous prime is 638698867159. The next prime is 638698867229. The reversal of 638698867200 is 2768896836.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2485209472 + ... + 2485209728.

Almost surely, 2^638698867200 is an apocalyptic number.

638698867200 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 638698867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286595902592).

638698867200 is an abundant number, since it is smaller than the sum of its proper divisors (1934492937984).

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

638698867200 is a wasteful number, since it uses less digits than its factorization.

638698867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 638698867200 in words is "six hundred thirty-eight billion, six hundred ninety-eight million, eight hundred sixty-seven thousand, two hundred".