642631034100 has 144 divisors (see below), whose sum is σ = 2041298473536. Its totient is φ = 154796928000.

The previous prime is 642631034083. The next prime is 642631034107. The reversal of 642631034100 is 1430136246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642631034107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102081 + ... + 1138280.

It is an arithmetic number, because the mean of its divisors is an integer number (14175683844).

Almost surely, 2^642631034100 is an apocalyptic number.

642631034100 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 642631034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020649236768).

642631034100 is an abundant number, since it is smaller than the sum of its proper divisors (1398667439436).

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

642631034100 is a wasteful number, since it uses less digits than its factorization.

642631034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240546 (or 1240539 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 642631034100 in words is "six hundred forty-two billion, six hundred thirty-one million, thirty-four thousand, one hundred".