4642822000 has 80 divisors (see below), whose sum is σ = 11245208832. Its totient is φ = 1854009600.

The previous prime is 4642821979. The next prime is 4642822069. The reversal of 4642822000 is 2282464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4642822000² = 43111592247368000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4642822000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464417 + ... + 1467583.

Almost surely, 2^4642822000 is an apocalyptic number.

4642822000 is a gapful number since it is divisible by the number (40) 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 4642822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622604416).

4642822000 is an abundant number, since it is smaller than the sum of its proper divisors (6602386832).

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

4642822000 is a wasteful number, since it uses less digits than its factorization.

4642822000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 4642822000 is about 68138.2565083669. The cubic root of 4642822000 is about 1668.2482497933.

The spelling of 4642822000 in words is "four billion, six hundred forty-two million, eight hundred twenty-two thousand".