4995662400 has 567 divisors, whose sum is σ = 19363461273. Its totient is φ = 1221350400.

The previous prime is 4995662333. The next prime is 4995662401. The reversal of 4995662400 is 42665994.

The square root of 4995662400 is 70680.

It is a perfect power (a square), and thus also a powerful number.

4995662400 is a `hidden beast` number, since 49 + 9 + 566 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1798438464 + 3197223936 = 42408^2 + 56544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4995662401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 161150385 + ... + 161150415.

Almost surely, 2^4995662400 is an apocalyptic number.

4995662400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4995662400 is the 70680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4995662400

4995662400 is an abundant number, since it is smaller than the sum of its proper divisors (14367798873).

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

4995662400 is a wasteful number, since it uses less digits than its factorization.

4995662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The cubic root of 4995662400 is about 1709.4813241731.

The spelling of 4995662400 in words is "four billion, nine hundred ninety-five million, six hundred sixty-two thousand, four hundred".