61801470720 has 720 divisors, whose sum is σ = 243319329792. Its totient is φ = 14914990080.

The previous prime is 61801470673. The next prime is 61801470733. The reversal of 61801470720 is 2707410816.

61801470720 is a `hidden beast` number, since 6 + 180 + 1 + 470 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 277136529 + ... + 277136751.

Almost surely, 2^61801470720 is an apocalyptic number.

61801470720 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 61801470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121659664896).

61801470720 is an abundant number, since it is smaller than the sum of its proper divisors (181517859072).

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

61801470720 is an frugal number, since it uses more digits than its factorization.

61801470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 61801470720 in words is "sixty-one billion, eight hundred one million, four hundred seventy thousand, seven hundred twenty".