4967053200 has 360 divisors, whose sum is σ = 18379401768. Its totient is φ = 1237893120.

The previous prime is 4967053181. The next prime is 4967053219. The reversal of 4967053200 is 23507694.

It is an interprime number because it is at equal distance from previous prime (4967053181) and next prime (4967053219).

It can be written as a sum of positive squares in 12 ways, for example, as 405941904 + 4561111296 = 20148^2 + 67536^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16952254 + ... + 16952546.

Almost surely, 2^4967053200 is an apocalyptic number.

4967053200 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 4967053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9189700884).

4967053200 is an abundant number, since it is smaller than the sum of its proper divisors (13412348568).

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

4967053200 is a wasteful number, since it uses less digits than its factorization.

4967053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4967053200 is about 70477.3240127631. The cubic root of 4967053200 is about 1706.2117843552.

The spelling of 4967053200 in words is "four billion, nine hundred sixty-seven million, fifty-three thousand, two hundred".