6509790984 has 64 divisors (see below), whose sum is σ = 16755552000. Its totient is φ = 2106409536.

The previous prime is 6509790983. The next prime is 6509791007. The reversal of 6509790984 is 4890979056.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6509790983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148867 + ... + 187565.

It is an arithmetic number, because the mean of its divisors is an integer number (261805500).

Almost surely, 2^6509790984 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 6509790984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377776000).

6509790984 is an abundant number, since it is smaller than the sum of its proper divisors (10245761016).

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

6509790984 is a wasteful number, since it uses less digits than its factorization.

6509790984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38914 (or 38910 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The square root of 6509790984 is about 80683.2757391518. The cubic root of 6509790984 is about 1867.1921584873.

The spelling of 6509790984 in words is "six billion, five hundred nine million, seven hundred ninety thousand, nine hundred eighty-four".