642626352 has 80 divisors (see below), whose sum is σ = 1851235680. Its totient is φ = 213435648.

The previous prime is 642626351. The next prime is 642626353. The reversal of 642626352 is 253626246.

642626352 is a `hidden beast` number, since 642 + 6 + 2 + 6 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (642626351) and next prime (642626353).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (642626351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124038 + ... + 129114.

It is an arithmetic number, because the mean of its divisors is an integer number (23140446).

Almost surely, 2^642626352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642626352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925617840).

642626352 is an abundant number, since it is smaller than the sum of its proper divisors (1208609328).

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

642626352 is a wasteful number, since it uses less digits than its factorization.

642626352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5375 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 642626352 is about 25350.0759762175. The cubic root of 642626352 is about 862.9510804936.

The spelling of 642626352 in words is "six hundred forty-two million, six hundred twenty-six thousand, three hundred fifty-two".