6507952640 has 240 divisors, whose sum is σ = 18787804200. Its totient is φ = 2153152512.

The previous prime is 6507952601. The next prime is 6507952679. The reversal of 6507952640 is 462597056.

It is an interprime number because it is at equal distance from previous prime (6507952601) and next prime (6507952679).

It can be written as a sum of positive squares in 4 ways, for example, as 6305630464 + 202322176 = 79408^2 + 14224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6507952591 and 6507952600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3636866 + ... + 3638654.

Almost surely, 2^6507952640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6507952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9393902100).

6507952640 is an abundant number, since it is smaller than the sum of its proper divisors (12279851560).

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

6507952640 is a wasteful number, since it uses less digits than its factorization.

6507952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The square root of 6507952640 is about 80671.8825861898. The cubic root of 6507952640 is about 1867.0163789232.

The spelling of 6507952640 in words is "six billion, five hundred seven million, nine hundred fifty-two thousand, six hundred forty".