4967344800 has 432 divisors, whose sum is σ = 20120274720. Its totient is φ = 1140480000.

The previous prime is 4967344783. The next prime is 4967344817. The reversal of 4967344800 is 84437694.

It is an interprime number because it is at equal distance from previous prime (4967344783) and next prime (4967344817).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1503150 + ... + 1506450.

It is an arithmetic number, because the mean of its divisors is an integer number (46574710).

Almost surely, 2^4967344800 is an apocalyptic number.

4967344800 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 4967344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10060137360).

4967344800 is an abundant number, since it is smaller than the sum of its proper divisors (15152929920).

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

4967344800 is a wasteful number, since it uses less digits than its factorization.

4967344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4967344800 is about 70479.3927329117. The cubic root of 4967344800 is about 1706.2451724695.

The spelling of 4967344800 in words is "four billion, nine hundred sixty-seven million, three hundred forty-four thousand, eight hundred".