6553759680 has 896 divisors, whose sum is σ = 27241804800. Its totient is φ = 1469104128.

The previous prime is 6553759651. The next prime is 6553759691. The reversal of 6553759680 is 869573556.

6553759680 is a `hidden beast` number, since 6 + 553 + 7 + 5 + 9 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78960919 + ... + 78961001.

It is an arithmetic number, because the mean of its divisors is an integer number (30403800).

Almost surely, 2^6553759680 is an apocalyptic number.

6553759680 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 6553759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13620902400).

6553759680 is an abundant number, since it is smaller than the sum of its proper divisors (20688045120).

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

6553759680 is a wasteful number, since it uses less digits than its factorization.

6553759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 6553759680 is about 80955.2943296484. The cubic root of 6553759680 is about 1871.3865511333.

The spelling of 6553759680 in words is "six billion, five hundred fifty-three million, seven hundred fifty-nine thousand, six hundred eighty".