61301762208 has 144 divisors (see below), whose sum is σ = 180330827040. Its totient is φ = 19738142208.

The previous prime is 61301762141. The next prime is 61301762209. The reversal of 61301762208 is 80226710316.

61301762208 is a `hidden beast` number, since 6 + 13 + 0 + 17 + 622 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (61301762209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1460491 + ... + 1501877.

It is an arithmetic number, because the mean of its divisors is an integer number (1252297410).

Almost surely, 2^61301762208 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 61301762208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90165413520).

61301762208 is an abundant number, since it is smaller than the sum of its proper divisors (119029064832).

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

61301762208 is a wasteful number, since it uses less digits than its factorization.

61301762208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41579 (or 41568 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 61301762208 in words is "sixty-one billion, three hundred one million, seven hundred sixty-two thousand, two hundred eight".