1642838400 has 576 divisors, whose sum is σ = 6955135200. Its totient is φ = 361267200.

The previous prime is 1642838387. The next prime is 1642838441. The reversal of 1642838400 is 48382461.

1642838400 is a `hidden beast` number, since 1 + 642 + 8 + 3 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5846260 + ... + 5846540.

Almost surely, 2^1642838400 is an apocalyptic number.

1642838400 is a gapful number since it is divisible by the number (10) 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 1642838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477567600).

1642838400 is an abundant number, since it is smaller than the sum of its proper divisors (5312296800).

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

1642838400 is a wasteful number, since it uses less digits than its factorization.

1642838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1642838400 is about 40531.9429586098. The cubic root of 1642838400 is about 1179.9536513443.

The spelling of 1642838400 in words is "one billion, six hundred forty-two million, eight hundred thirty-eight thousand, four hundred".