6261719040 has 480 divisors, whose sum is σ = 23592240000. Its totient is φ = 1571291136.

The previous prime is 6261719017. The next prime is 6261719041. The reversal of 6261719040 is 409171626.

6261719040 is a `hidden beast` number, since 626 + 17 + 19 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 6261718986 and 6261719004.

It is not an unprimeable number, because it can be changed into a prime (6261719041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42024886 + ... + 42025034.

It is an arithmetic number, because the mean of its divisors is an integer number (49150500).

Almost surely, 2^6261719040 is an apocalyptic number.

6261719040 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 6261719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796120000).

6261719040 is an abundant number, since it is smaller than the sum of its proper divisors (17330520960).

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

6261719040 is a wasteful number, since it uses less digits than its factorization.

6261719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6261719040 is about 79131.0245099860. The cubic root of 6261719040 is about 1843.1663188290.

The spelling of 6261719040 in words is "six billion, two hundred sixty-one million, seven hundred nineteen thousand, forty".