6653764980 has 384 divisors, whose sum is σ = 22945628160. Its totient is φ = 1593354240.

The previous prime is 6653764973. The next prime is 6653764981. The reversal of 6653764980 is 894673566.

6653764980 is a `hidden beast` number, since 66 + 537 + 6 + 49 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6653764981) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29311627 + ... + 29311853.

It is an arithmetic number, because the mean of its divisors is an integer number (59754240).

Almost surely, 2^6653764980 is an apocalyptic number.

6653764980 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 6653764980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11472814080).

6653764980 is an abundant number, since it is smaller than the sum of its proper divisors (16291863180).

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

6653764980 is a wasteful number, since it uses less digits than its factorization.

6653764980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6653764980 is about 81570.6134585244. The cubic root of 6653764980 is about 1880.8571785265.

The spelling of 6653764980 in words is "six billion, six hundred fifty-three million, seven hundred sixty-four thousand, nine hundred eighty".