61712433090 has 768 divisors, whose sum is σ = 217379635200. Its totient is φ = 12482346240.

The previous prime is 61712433073. The next prime is 61712433113. The reversal of 61712433090 is 9033421716.

61712433090 is a `hidden beast` number, since 617 + 1 + 2 + 4 + 3 + 30 + 9 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 485924607 + ... + 485924733.

It is an arithmetic number, because the mean of its divisors is an integer number (283046400).

Almost surely, 2^61712433090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61712433090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108689817600).

61712433090 is an abundant number, since it is smaller than the sum of its proper divisors (155667202110).

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

61712433090 is a wasteful number, since it uses less digits than its factorization.

61712433090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 61712433090 in words is "sixty-one billion, seven hundred twelve million, four hundred thirty-three thousand, ninety".