642837888 has 192 divisors, whose sum is σ = 2306603520. Its totient is φ = 166947840.

The previous prime is 642837869. The next prime is 642837907. The reversal of 642837888 is 888738246.

It is an interprime number because it is at equal distance from previous prime (642837869) and next prime (642837907).

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85081 + ... + 92327.

It is an arithmetic number, because the mean of its divisors is an integer number (12013560).

Almost surely, 2^642837888 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 642837888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153301760).

642837888 is an abundant number, since it is smaller than the sum of its proper divisors (1663765632).

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

642837888 is a wasteful number, since it uses less digits than its factorization.

642837888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7285 (or 7270 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 642837888 is about 25354.2479281086. The cubic root of 642837888 is about 863.0457571763.

The spelling of 642837888 in words is "six hundred forty-two million, eight hundred thirty-seven thousand, eight hundred eighty-eight".