6254633040 has 120 divisors (see below), whose sum is σ = 19574059680. Its totient is φ = 1652078592.

The previous prime is 6254632997. The next prime is 6254633051. The reversal of 6254633040 is 403364526.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6254632992 and 6254633010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14444664 + ... + 14445096.

It is an arithmetic number, because the mean of its divisors is an integer number (163117164).

Almost surely, 2^6254633040 is an apocalyptic number.

6254633040 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 6254633040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9787029840).

6254633040 is an abundant number, since it is smaller than the sum of its proper divisors (13319426640).

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

6254633040 is a wasteful number, since it uses less digits than its factorization.

6254633040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 6254633040 is about 79086.2379937243. The cubic root of 6254633040 is about 1842.4707906412.

Adding to 6254633040 its reverse (403364526), we get a palindrome (6657997566).

The spelling of 6254633040 in words is "six billion, two hundred fifty-four million, six hundred thirty-three thousand, forty".