61763002056 has 192 divisors, whose sum is σ = 203193619200. Its totient is φ = 16544784384.

The previous prime is 61763002051. The next prime is 61763002079. The reversal of 61763002056 is 65020036716.

61763002056 is a `hidden beast` number, since 6 + 17 + 630 + 0 + 2 + 0 + 5 + 6 = 666.

61763002056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61763002056.

It is not an unprimeable number, because it can be changed into a prime (61763002051) 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, 2239680 + ... + 2267088.

It is an arithmetic number, because the mean of its divisors is an integer number (1058300100).

Almost surely, 2^61763002056 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 61763002056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101596809600).

61763002056 is an abundant number, since it is smaller than the sum of its proper divisors (141430617144).

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

61763002056 is a wasteful number, since it uses less digits than its factorization.

61763002056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27708 (or 27701 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 61763002056 in words is "sixty-one billion, seven hundred sixty-three million, two thousand, fifty-six".