6253646400 has 189 divisors, whose sum is σ = 22260715321. Its totient is φ = 1665108480.

The previous prime is 6253646389. The next prime is 6253646411. The reversal of 6253646400 is 46463526.

The square root of 6253646400 is 79080.

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

6253646400 is a `hidden beast` number, since 6 + 2 + 5 + 3 + 6 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6253646389) and next prime (6253646411).

It can be written as a sum of positive squares in only one way, i.e., 2251312704 + 4002333696 = 47448^2 + 63264^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9489271 + ... + 9489929.

Almost surely, 2^6253646400 is an apocalyptic number.

6253646400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6253646400 is the 79080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6253646400

6253646400 is an abundant number, since it is smaller than the sum of its proper divisors (16007068921).

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

6253646400 is an equidigital number, since it uses as much as digits as its factorization.

6253646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The cubic root of 6253646400 is about 1842.3739050758.

Multiplying 6253646400 by its sum of digits (36), we get a square (225131270400 = 474480²).

6253646400 divided by its sum of digits (36) gives a square (173712400 = 13180²).

It can be divided in two parts, 6253 and 646400, that added together give a triangular number (652653 = T₁₁₄₂).

The spelling of 6253646400 in words is "six billion, two hundred fifty-three million, six hundred forty-six thousand, four hundred".