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6564120420 = 2235111323293137

6564120420 has 768 divisors, whose sum is σ = 24710676480. Its totient is φ = 1277337600.

The previous prime is 6564120403. The next prime is 6564120463. The reversal of 6564120420 is 240214656.

It is the 20-th Catalan number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 177408642 + ... + 177408678.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 26564120420 is an apocalyptic number.

6564120420 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 6564120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355338240).

6564120420 is an abundant number, since it is smaller than the sum of its proper divisors (18146556060).

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

6564120420 is a wasteful number, since it uses less digits than its factorization.

6564120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6564120420 is about 81019.2595621560. The cubic root of 6564120420 is about 1872.3721808672.

The spelling of 6564120420 in words is "six billion, five hundred sixty-four million, one hundred twenty thousand, four hundred twenty".