6426765504 has 280 divisors, whose sum is σ = 20358201600. Its totient is φ = 1998743040.

The previous prime is 6426765481. The next prime is 6426765529. The reversal of 6426765504 is 4055676246.

6426765504 is a `hidden beast` number, since 6 + 4 + 26 + 76 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6426765504.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6992757 + ... + 6993675.

Almost surely, 2^6426765504 is an apocalyptic number.

6426765504 is a gapful number since it is divisible by the number (64) 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 6426765504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179100800).

6426765504 is an abundant number, since it is smaller than the sum of its proper divisors (13931436096).

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

6426765504 is a wasteful number, since it uses less digits than its factorization.

6426765504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 6426765504 is about 80167.1098643328. The cubic root of 6426765504 is about 1859.2201517442.

The spelling of 6426765504 in words is "six billion, four hundred twenty-six million, seven hundred sixty-five thousand, five hundred four".