4838064000 has 1152 divisors, whose sum is σ = 21713196960. Its totient is φ = 946176000.

The previous prime is 4838063999. The next prime is 4838064029. The reversal of 4838064000 is 4608384.

4838064000 = 386² + 387² + ... + 2442².

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 284591992 + ... + 284592008.

Almost surely, 2^4838064000 is an apocalyptic number.

4838064000 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 4838064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856598480).

4838064000 is an abundant number, since it is smaller than the sum of its proper divisors (16875132960).

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

4838064000 is a wasteful number, since it uses less digits than its factorization.

4838064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4838064000 is about 69556.1931103191. The cubic root of 4838064000 is about 1691.3125431296.

The spelling of 4838064000 in words is "four billion, eight hundred thirty-eight million, sixty-four thousand".