5654408760 has 1152 divisors, whose sum is σ = 26638709760. Its totient is φ = 1006387200.

The previous prime is 5654408741. The next prime is 5654408779. The reversal of 5654408760 is 678044565.

5654408760 is a `hidden beast` number, since 565 + 4 + 4 + 0 + 87 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5654408741) and next prime (5654408779).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79639525 + ... + 79639595.

It is an arithmetic number, because the mean of its divisors is an integer number (23123880).

Almost surely, 2^5654408760 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 5654408760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319354880).

5654408760 is an abundant number, since it is smaller than the sum of its proper divisors (20984301000).

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

5654408760 is a wasteful number, since it uses less digits than its factorization.

5654408760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5654408760 is about 75195.8028084015. The cubic root of 5654408760 is about 1781.5406389648.

It can be divided in two parts, 5654 and 408760, that added together give a palindrome (414414).

The spelling of 5654408760 in words is "five billion, six hundred fifty-four million, four hundred eight thousand, seven hundred sixty".