6253210368 has 360 divisors, whose sum is σ = 20095569648. Its totient is φ = 1934917632.

The previous prime is 6253210349. The next prime is 6253210373. The reversal of 6253210368 is 8630123526.

It is a happy number.

6253210368 is a `hidden beast` number, since 62 + 532 + 1 + 0 + 3 + 68 = 666.

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 39 ways as a sum of consecutive naturals, for example, 85660380 + ... + 85660452.

Almost surely, 2^6253210368 is an apocalyptic number.

6253210368 is a gapful number since it is divisible by the number (68) 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 6253210368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10047784824).

6253210368 is an abundant number, since it is smaller than the sum of its proper divisors (13842359280).

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

6253210368 is an frugal number, since it uses more digits than its factorization.

6253210368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6253210368 is about 79077.2430475418. The cubic root of 6253210368 is about 1842.3310845837.

It can be divided in two parts, 62532 and 10368, that added together give a square (72900 = 270²).

The spelling of 6253210368 in words is "six billion, two hundred fifty-three million, two hundred ten thousand, three hundred sixty-eight".