5606768640 has 512 divisors, whose sum is σ = 21063473280. Its totient is φ = 1258291200.

The previous prime is 5606768639. The next prime is 5606768647. The reversal of 5606768640 is 468676065.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5606768640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5606768647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91914210 + ... + 91914270.

Almost surely, 2^5606768640 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 5606768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531736640).

5606768640 is an abundant number, since it is smaller than the sum of its proper divisors (15456704640).

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

5606768640 is a wasteful number, since it uses less digits than its factorization.

5606768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 5606768640 is about 74878.3589563767. The cubic root of 5606768640 is about 1776.5231800097.

The spelling of 5606768640 in words is "five billion, six hundred six million, seven hundred sixty-eight thousand, six hundred forty".