638028213120 has 960 divisors, whose sum is σ = 2488005020160. Its totient is φ = 155669299200.

The previous prime is 638028213101. The next prime is 638028213181. The reversal of 638028213120 is 21312820836.

638028213120 is a `hidden beast` number, since 63 + 8 + 0 + 282 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 119 ways as a sum of consecutive naturals, for example, 554324545 + ... + 554325695.

It is an arithmetic number, because the mean of its divisors is an integer number (2591671896).

Almost surely, 2^638028213120 is an apocalyptic number.

638028213120 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 638028213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244002510080).

638028213120 is an abundant number, since it is smaller than the sum of its proper divisors (1849976807040).

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

638028213120 is a wasteful number, since it uses less digits than its factorization.

638028213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 638028213120 in words is "six hundred thirty-eight billion, twenty-eight million, two hundred thirteen thousand, one hundred twenty".