6619345920 has 440 divisors, whose sum is σ = 25894189728. Its totient is φ = 1603584000.

The previous prime is 6619345891. The next prime is 6619345937. The reversal of 6619345920 is 295439166.

6619345920 is a `hidden beast` number, since 6 + 6 + 193 + 459 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4561195 + ... + 4562645.

Almost surely, 2^6619345920 is an apocalyptic number.

6619345920 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 6619345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947094864).

6619345920 is an abundant number, since it is smaller than the sum of its proper divisors (19274843808).

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

6619345920 is a wasteful number, since it uses less digits than its factorization.

6619345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6619345920 is about 81359.3628293634. The cubic root of 6619345920 is about 1877.6084271747.

The spelling of 6619345920 in words is "six billion, six hundred nineteen million, three hundred forty-five thousand, nine hundred twenty".