6617761920 has 768 divisors, whose sum is σ = 29237345280. Its totient is φ = 1339269120.

The previous prime is 6617761919. The next prime is 6617761933. The reversal of 6617761920 is 291677166.

It is a happy number.

6617761920 is a `hidden beast` number, since 6 + 6 + 1 + 7 + 7 + 619 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19071187 + ... + 19071533.

It is an arithmetic number, because the mean of its divisors is an integer number (38069460).

Almost surely, 2^6617761920 is an apocalyptic number.

6617761920 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 6617761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14618672640).

6617761920 is an abundant number, since it is smaller than the sum of its proper divisors (22619583360).

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

6617761920 is a wasteful number, since it uses less digits than its factorization.

6617761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 6617761920 is about 81349.6276574146. The cubic root of 6617761920 is about 1877.4586455572.

The spelling of 6617761920 in words is "six billion, six hundred seventeen million, seven hundred sixty-one thousand, nine hundred twenty".