3568126464 has 480 divisors, whose sum is σ = 12976419456. Its totient is φ = 955514880.

The previous prime is 3568126439. The next prime is 3568126519. The reversal of 3568126464 is 4646218653.

3568126464 is a `hidden beast` number, since 3 + 5 + 68 + 126 + 464 = 666.

Its product of digits (829440) is a multiple of the sum of its prime divisors (270).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14805384 + ... + 14805624.

Almost surely, 2^3568126464 is an apocalyptic number.

3568126464 is a gapful number since it is divisible by the number (34) 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 3568126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488209728).

3568126464 is an abundant number, since it is smaller than the sum of its proper divisors (9408292992).

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

3568126464 is an equidigital number, since it uses as much as digits as its factorization.

3568126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 270 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3568126464 is about 59733.7966648697. The cubic root of 3568126464 is about 1528.0823032521.

The spelling of 3568126464 in words is "three billion, five hundred sixty-eight million, one hundred twenty-six thousand, four hundred sixty-four".