6648917040 has 240 divisors, whose sum is σ = 23185408896. Its totient is φ = 1706342400.

The previous prime is 6648917021. The next prime is 6648917059. The reversal of 6648917040 is 407198466.

6648917040 is a `hidden beast` number, since 66 + 489 + 1 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6648917021) and next prime (6648917059).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2062630 + ... + 2065850.

Almost surely, 2^6648917040 is an apocalyptic number.

6648917040 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 6648917040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592704448).

6648917040 is an abundant number, since it is smaller than the sum of its proper divisors (16536491856).

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

6648917040 is a wasteful number, since it uses less digits than its factorization.

6648917040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6648917040 is about 81540.8918273525. The cubic root of 6648917040 is about 1880.4002693828.

The spelling of 6648917040 in words is "six billion, six hundred forty-eight million, nine hundred seventeen thousand, forty".