5656034726496 has 1536 divisors, whose sum is σ = 22817023488000. Its totient is φ = 1334376529920.

The previous prime is 5656034726491. The next prime is 5656034726509. The reversal of 5656034726496 is 6946274306565.

5656034726496 is a `hidden beast` number, since 5 + 6 + 560 + 3 + 4 + 7 + 2 + 64 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5656034726491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2656661560 + ... + 2656663688.

It is an arithmetic number, because the mean of its divisors is an integer number (14854833000).

Almost surely, 2^{5656034726496} is an apocalyptic number.

5656034726496 is a gapful number since it is divisible by the number (56) 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 5656034726496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11408511744000).

5656034726496 is an abundant number, since it is smaller than the sum of its proper divisors (17160988761504).

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

5656034726496 is a wasteful number, since it uses less digits than its factorization.

5656034726496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 5656034726496 in words is "five trillion, six hundred fifty-six billion, thirty-four million, seven hundred twenty-six thousand, four hundred ninety-six".