61085767680 has 1008 divisors, whose sum is σ = 257163575760. Its totient is φ = 13878853632.

The previous prime is 61085767663. The next prime is 61085767709. The reversal of 61085767680 is 8676758016.

61085767680 is a `hidden beast` number, since 6 + 1 + 0 + 8 + 576 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 365782957 + ... + 365783123.

It is an arithmetic number, because the mean of its divisors is an integer number (255122595).

Almost surely, 2^61085767680 is an apocalyptic number.

61085767680 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 61085767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128581787880).

61085767680 is an abundant number, since it is smaller than the sum of its proper divisors (196077808080).

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

61085767680 is an equidigital number, since it uses as much as digits as its factorization.

61085767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 61085767680 in words is "sixty-one billion, eighty-five million, seven hundred sixty-seven thousand, six hundred eighty".