6507406080 has 576 divisors, whose sum is σ = 27141703680. Its totient is φ = 1445216256.

The previous prime is 6507406079. The next prime is 6507406111. The reversal of 6507406080 is 806047056.

It is a happy number.

6507406080 is a `hidden beast` number, since 6 + 5 + 0 + 7 + 40 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8950677 + ... + 8951403.

Almost surely, 2^6507406080 is an apocalyptic number.

6507406080 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 6507406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570851840).

6507406080 is an abundant number, since it is smaller than the sum of its proper divisors (20634297600).

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

6507406080 is a wasteful number, since it uses less digits than its factorization.

6507406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6507406080 is about 80668.4949655068. The cubic root of 6507406080 is about 1866.9641113312.

The spelling of 6507406080 in words is "six billion, five hundred seven million, four hundred six thousand, eighty".