6248219040 has 384 divisors, whose sum is σ = 25105489920. Its totient is φ = 1421743104.

The previous prime is 6248219023. The next prime is 6248219051. The reversal of 6248219040 is 409128426.

6248219040 is a `hidden beast` number, since 624 + 8 + 21 + 9 + 0 + 4 + 0 = 666.

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 = 6248218986 and 6248219004.

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 63 ways as a sum of consecutive naturals, for example, 11097799 + ... + 11098361.

It is an arithmetic number, because the mean of its divisors is an integer number (65378880).

Almost surely, 2^6248219040 is an apocalyptic number.

6248219040 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 6248219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552744960).

6248219040 is an abundant number, since it is smaller than the sum of its proper divisors (18857270880).

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

6248219040 is a wasteful number, since it uses less digits than its factorization.

6248219040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6248219040 is about 79045.6769216382. The cubic root of 6248219040 is about 1841.8407696924.

The spelling of 6248219040 in words is "six billion, two hundred forty-eight million, two hundred nineteen thousand, forty".