4992768000 has 576 divisors, whose sum is σ = 19731872160. Its totient is φ = 1204224000.

The previous prime is 4992767971. The next prime is 4992768043. The reversal of 4992768000 is 8672994.

It is a happy number.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25343902 + ... + 25344098.

Almost surely, 2^4992768000 is an apocalyptic number.

4992768000 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 4992768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865936080).

4992768000 is an abundant number, since it is smaller than the sum of its proper divisors (14739104160).

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

4992768000 is a wasteful number, since it uses less digits than its factorization.

4992768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4992768000 is about 70659.5216513670. The cubic root of 4992768000 is about 1709.1511124656.

The spelling of 4992768000 in words is "four billion, nine hundred ninety-two million, seven hundred sixty-eight thousand".