6253446960 has 240 divisors, whose sum is σ = 21699325440. Its totient is φ = 1612707840.

The previous prime is 6253446863. The next prime is 6253447001. The reversal of 6253446960 is 696443526.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5087626 + ... + 5088854.

It is an arithmetic number, because the mean of its divisors is an integer number (90413856).

Almost surely, 2^6253446960 is an apocalyptic number.

6253446960 is a gapful number since it is divisible by the number (60) 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 6253446960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849662720).

6253446960 is an abundant number, since it is smaller than the sum of its proper divisors (15445878480).

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

6253446960 is a wasteful number, since it uses less digits than its factorization.

6253446960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 6253446960 is about 79078.7389884285. The cubic root of 6253446960 is about 1842.3543193316.

The spelling of 6253446960 in words is "six billion, two hundred fifty-three million, four hundred forty-six thousand, nine hundred sixty".