6580420952 has 64 divisors (see below), whose sum is σ = 14478488640. Its totient is φ = 2744985600.

The previous prime is 6580420901. The next prime is 6580420967. The reversal of 6580420952 is 2590240856.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055348 + ... + 1061564.

It is an arithmetic number, because the mean of its divisors is an integer number (226226385).

Almost surely, 2^6580420952 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 6580420952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239244320).

6580420952 is an abundant number, since it is smaller than the sum of its proper divisors (7898067688).

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

6580420952 is a wasteful number, since it uses less digits than its factorization.

6580420952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 6580420952 is about 81119.7938360299. The cubic root of 6580420952 is about 1873.9207728966.

The spelling of 6580420952 in words is "six billion, five hundred eighty million, four hundred twenty thousand, nine hundred fifty-two".