6652114560 has 960 divisors, whose sum is σ = 29638725480. Its totient is φ = 1365590016.

The previous prime is 6652114537. The next prime is 6652114583. The reversal of 6652114560 is 654112566.

6652114560 is a `hidden beast` number, since 6 + 65 + 21 + 14 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6652114537) and next prime (6652114583).

It can be written as a sum of positive squares in 4 ways, for example, as 5489031744 + 1163082816 = 74088^2 + 34104^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 179786862 + ... + 179786898.

Almost surely, 2^6652114560 is an apocalyptic number.

6652114560 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 6652114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819362740).

6652114560 is an abundant number, since it is smaller than the sum of its proper divisors (22986610920).

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

6652114560 is a wasteful number, since it uses less digits than its factorization.

6652114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6652114560 is about 81560.4963202162. The cubic root of 6652114560 is about 1880.7016544982.

The spelling of 6652114560 in words is "six billion, six hundred fifty-two million, one hundred fourteen thousand, five hundred sixty".