61777177280 has 336 divisors, whose sum is σ = 189291626496. Its totient is φ = 19020718080.

The previous prime is 61777177249. The next prime is 61777177289. The reversal of 61777177280 is 8277177716.

It is not an unprimeable number, because it can be changed into a prime (61777177289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7537985 + ... + 7546175.

It is an arithmetic number, because the mean of its divisors is an integer number (563367936).

Almost surely, 2^61777177280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61777177280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94645813248).

61777177280 is an abundant number, since it is smaller than the sum of its proper divisors (127514449216).

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

61777177280 is a wasteful number, since it uses less digits than its factorization.

61777177280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 1613472, while the sum is 53.

The spelling of 61777177280 in words is "sixty-one billion, seven hundred seventy-seven million, one hundred seventy-seven thousand, two hundred eighty".