6509729070 has 192 divisors, whose sum is σ = 18660305664. Its totient is φ = 1564738560.

The previous prime is 6509729027. The next prime is 6509729087. The reversal of 6509729070 is 709279056.

6509729070 is a `hidden beast` number, since 6 + 509 + 72 + 9 + 0 + 70 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14059659 + ... + 14060121.

It is an arithmetic number, because the mean of its divisors is an integer number (97189092).

Almost surely, 2^6509729070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6509729070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330152832).

6509729070 is an abundant number, since it is smaller than the sum of its proper divisors (12150576594).

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

6509729070 is a wasteful number, since it uses less digits than its factorization.

6509729070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 6509729070 is about 80682.8920527766. The cubic root of 6509729070 is about 1867.1862389065.

The spelling of 6509729070 in words is "six billion, five hundred nine million, seven hundred twenty-nine thousand, seventy".