642214848 has 224 divisors, whose sum is σ = 2029529088. Its totient is φ = 176947200.

The previous prime is 642214819. The next prime is 642214891. The reversal of 642214848 is 848412246.

It is a super-3 number, since 3×642214848³ (a number of 27 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1112736 + ... + 1113312.

Almost surely, 2^642214848 is an apocalyptic number.

642214848 is a gapful number since it is divisible by the number (68) 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 642214848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014764544).

642214848 is an abundant number, since it is smaller than the sum of its proper divisors (1387314240).

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

642214848 is a wasteful number, since it uses less digits than its factorization.

642214848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 641 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 642214848 is about 25341.9582510902. The cubic root of 642214848 is about 862.7668450537.

The spelling of 642214848 in words is "six hundred forty-two million, two hundred fourteen thousand, eight hundred forty-eight".