6561736830 has 384 divisors, whose sum is σ = 20934028800. Its totient is φ = 1458388800.

The previous prime is 6561736817. The next prime is 6561736837. The reversal of 6561736830 is 386371656.

6561736830 is a `hidden beast` number, since 6 + 561 + 7 + 3 + 6 + 83 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6561736837) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211668915 + ... + 211668945.

It is an arithmetic number, because the mean of its divisors is an integer number (54515700).

Almost surely, 2^6561736830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6561736830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10467014400).

6561736830 is an abundant number, since it is smaller than the sum of its proper divisors (14372291970).

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

6561736830 is a wasteful number, since it uses less digits than its factorization.

6561736830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6561736830 is about 81004.5482056409. The cubic root of 6561736830 is about 1872.1455189722.

The spelling of 6561736830 in words is "six billion, five hundred sixty-one million, seven hundred thirty-six thousand, eight hundred thirty".