61761780288 has 224 divisors, whose sum is σ = 196427750400. Its totient is φ = 18916872192.

The previous prime is 61761780281. The next prime is 61761780307. The reversal of 61761780288 is 88208716716.

It is a happy number.

61761780288 is a `hidden beast` number, since 6 + 17 + 617 + 8 + 0 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61761780281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5003308 + ... + 5015636.

It is an arithmetic number, because the mean of its divisors is an integer number (876909600).

Almost surely, 2^61761780288 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 61761780288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98213875200).

61761780288 is an abundant number, since it is smaller than the sum of its proper divisors (134665970112).

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

61761780288 is a wasteful number, since it uses less digits than its factorization.

61761780288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12586 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 61761780288 in words is "sixty-one billion, seven hundred sixty-one million, seven hundred eighty thousand, two hundred eighty-eight".