6612352640 has 256 divisors, whose sum is σ = 18242496000. Its totient is φ = 2274951168.

The previous prime is 6612352619. The next prime is 6612352661. The reversal of 6612352640 is 462532166.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6612352619) and next prime (6612352661).

It is a self number, because there is not a number n which added to its sum of digits gives 6612352640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5994329 + ... + 5995431.

It is an arithmetic number, because the mean of its divisors is an integer number (71259750).

Almost surely, 2^6612352640 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 6612352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9121248000).

6612352640 is an abundant number, since it is smaller than the sum of its proper divisors (11630143360).

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

6612352640 is a wasteful number, since it uses less digits than its factorization.

6612352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 6612352640 is about 81316.3737509242. The cubic root of 6612352640 is about 1876.9469686524.

The spelling of 6612352640 in words is "six billion, six hundred twelve million, three hundred fifty-two thousand, six hundred forty".