638047762002 has 288 divisors, whose sum is σ = 1712613427200. Its totient is φ = 170692655616.

The previous prime is 638047761979. The next prime is 638047762057. The reversal of 638047762002 is 200267740836.

638047762002 is a `hidden beast` number, since 638 + 0 + 4 + 7 + 7 + 6 + 2 + 0 + 0 + 2 = 666.

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, 870460428 + ... + 870461160.

It is an arithmetic number, because the mean of its divisors is an integer number (5946574400).

Almost surely, 2^638047762002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638047762002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856306713600).

638047762002 is an abundant number, since it is smaller than the sum of its proper divisors (1074565665198).

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

638047762002 is a wasteful number, since it uses less digits than its factorization.

638047762002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 638047762002 in words is "six hundred thirty-eight billion, forty-seven million, seven hundred sixty-two thousand, two".