4967713800 has 480 divisors, whose sum is σ = 20028539520. Its totient is φ = 1117670400.

The previous prime is 4967713771. The next prime is 4967713819. The reversal of 4967713800 is 83177694.

4967713800 is a `hidden beast` number, since 496 + 77 + 13 + 80 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 8051092 + ... + 8051708.

It is an arithmetic number, because the mean of its divisors is an integer number (41726124).

Almost surely, 2^4967713800 is an apocalyptic number.

4967713800 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 4967713800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10014269760).

4967713800 is an abundant number, since it is smaller than the sum of its proper divisors (15060825720).

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

4967713800 is a wasteful number, since it uses less digits than its factorization.

4967713800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4967713800 is about 70482.0104707577. The cubic root of 4967713800 is about 1706.2874209882.

The spelling of 4967713800 in words is "four billion, nine hundred sixty-seven million, seven hundred thirteen thousand, eight hundred".