4962848000 has 288 divisors, whose sum is σ = 14096339712. Its totient is φ = 1723392000.

The previous prime is 4962847963. The next prime is 4962848021. The reversal of 4962848000 is 8482694.

It is a super-2 number, since 2×4962848000² = 49259720542208000000, which contains 22 as substring.

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, 8095694 + ... + 8096306.

It is an arithmetic number, because the mean of its divisors is an integer number (48945624).

Almost surely, 2^4962848000 is an apocalyptic number.

4962848000 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 4962848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048169856).

4962848000 is an abundant number, since it is smaller than the sum of its proper divisors (9133491712).

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

4962848000 is a wasteful number, since it uses less digits than its factorization.

4962848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 4962848000 is about 70447.4839863000. The cubic root of 4962848000 is about 1705.7301448211.

The spelling of 4962848000 in words is "four billion, nine hundred sixty-two million, eight hundred forty-eight thousand".