6617652480 has 288 divisors, whose sum is σ = 23591030400. Its totient is φ = 1756643328.

The previous prime is 6617652449. The next prime is 6617652533. The reversal of 6617652480 is 842567166.

6617652480 is a `hidden beast` number, since 6 + 617 + 6 + 5 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14480412 + ... + 14480868.

It is an arithmetic number, because the mean of its divisors is an integer number (81913300).

Almost surely, 2^6617652480 is an apocalyptic number.

6617652480 is a gapful number since it is divisible by the number (60) 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 6617652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795515200).

6617652480 is an abundant number, since it is smaller than the sum of its proper divisors (16973377920).

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

6617652480 is a wasteful number, since it uses less digits than its factorization.

6617652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6617652480 is about 81348.9550025076. The cubic root of 6617652480 is about 1877.4482961265.

The spelling of 6617652480 in words is "six billion, six hundred seventeen million, six hundred fifty-two thousand, four hundred eighty".