6260693040 has 960 divisors, whose sum is σ = 27575377920. Its totient is φ = 1276508160.

The previous prime is 6260693039. The next prime is 6260693053. The reversal of 6260693040 is 403960626.

6260693040 is a `hidden beast` number, since 6 + 2 + 606 + 9 + 3 + 0 + 40 = 666.

It is a super-2 number, since 2×6260693040² = 78392554682208883200, which contains 22 as substring.

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 = 6260692986 and 6260693004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169207902 + ... + 169207938.

It is an arithmetic number, because the mean of its divisors is an integer number (28724352).

Almost surely, 2^6260693040 is an apocalyptic number.

6260693040 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 6260693040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787688960).

6260693040 is an abundant number, since it is smaller than the sum of its proper divisors (21314684880).

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

6260693040 is a wasteful number, since it uses less digits than its factorization.

6260693040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6260693040 is about 79124.5413256848. The cubic root of 6260693040 is about 1843.0656440288.

The spelling of 6260693040 in words is "six billion, two hundred sixty million, six hundred ninety-three thousand, forty".