6617962120 has 128 divisors (see below), whose sum is σ = 18634095360. Its totient is φ = 2055029760.

The previous prime is 6617962103. The next prime is 6617962129. The reversal of 6617962120 is 212697166.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6617962129) 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, 849282 + ... + 857038.

It is an arithmetic number, because the mean of its divisors is an integer number (145578870).

Almost surely, 2^6617962120 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 6617962120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9317047680).

6617962120 is an abundant number, since it is smaller than the sum of its proper divisors (12016133240).

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

6617962120 is a wasteful number, since it uses less digits than its factorization.

6617962120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8063 (or 8059 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 6617962120 is about 81350.8581392968. The cubic root of 6617962120 is about 1877.4775776089.

The spelling of 6617962120 in words is "six billion, six hundred seventeen million, nine hundred sixty-two thousand, one hundred twenty".