61709327280 has 320 divisors, whose sum is σ = 214997905920. Its totient is φ = 16267889664.

The previous prime is 61709327279. The next prime is 61709327287. The reversal of 61709327280 is 8272390716.

61709327280 is a `hidden beast` number, since 617 + 0 + 9 + 3 + 2 + 7 + 28 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61709327287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95970639 + ... + 95971281.

It is an arithmetic number, because the mean of its divisors is an integer number (671868456).

Almost surely, 2^61709327280 is an apocalyptic number.

61709327280 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 61709327280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107498952960).

61709327280 is an abundant number, since it is smaller than the sum of its proper divisors (153288578640).

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

61709327280 is a wasteful number, since it uses less digits than its factorization.

61709327280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 61709327280 in words is "sixty-one billion, seven hundred nine million, three hundred twenty-seven thousand, two hundred eighty".