6253673040 has 480 divisors, whose sum is σ = 23398502400. Its totient is φ = 1546739712.

The previous prime is 6253672973. The next prime is 6253673047. The reversal of 6253673040 is 403763526.

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

It is a junction number, because it is equal to n+sod(n) for n = 6253672986 and 6253673004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6253673047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41970886 + ... + 41971034.

It is an arithmetic number, because the mean of its divisors is an integer number (48746880).

Almost surely, 2^6253673040 is an apocalyptic number.

6253673040 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 6253673040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699251200).

6253673040 is an abundant number, since it is smaller than the sum of its proper divisors (17144829360).

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

6253673040 is a wasteful number, since it uses less digits than its factorization.

6253673040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 6253673040 is about 79080.1684368464. The cubic root of 6253673040 is about 1842.3765211907.

The spelling of 6253673040 in words is "six billion, two hundred fifty-three million, six hundred seventy-three thousand, forty".