638045379000 has 288 divisors, whose sum is σ = 2228435230320. Its totient is φ = 164654640000.

The previous prime is 638045378977. The next prime is 638045379043. The reversal of 638045379000 is 973540836.

638045379000 is a `hidden beast` number, since 638 + 0 + 4 + 5 + 3 + 7 + 9 + 0 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 8612115 + ... + 8685885.

Almost surely, 2^638045379000 is an apocalyptic number.

638045379000 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 638045379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114217615160).

638045379000 is an abundant number, since it is smaller than the sum of its proper divisors (1590389851320).

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

638045379000 is a wasteful number, since it uses less digits than its factorization.

638045379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73860 (or 73812 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 638045379000 in words is "six hundred thirty-eight billion, forty-five million, three hundred seventy-nine thousand".