642136384 has 56 divisors (see below), whose sum is σ = 1293977600. Its totient is φ = 316141056.

The previous prime is 642136373. The next prime is 642136403. The reversal of 642136384 is 483631246.

It is a super-3 number, since 3×642136384³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1617274 + ... + 1617670.

Almost surely, 2^642136384 is an apocalyptic number.

642136384 is a gapful number since it is divisible by the number (64) 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 642136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646988800).

642136384 is an abundant number, since it is smaller than the sum of its proper divisors (651841216).

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

642136384 is a wasteful number, since it uses less digits than its factorization.

642136384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 642136384 is about 25340.4100992861. The cubic root of 642136384 is about 862.7317068155.

It can be divided in two parts, 642 and 136384, that added together give a triangular number (137026 = T₅₂₃).

The spelling of 642136384 in words is "six hundred forty-two million, one hundred thirty-six thousand, three hundred eighty-four".