61642302770412 has 288 divisors, whose sum is σ = 202948331006400. Its totient is φ = 16034606429184.

The previous prime is 61642302770351. The next prime is 61642302770417. The reversal of 61642302770412 is 21407720324616.

61642302770412 is a `hidden beast` number, since 6 + 164 + 2 + 3 + 0 + 2 + 7 + 70 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (61642302770417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1114987 + ... + 11159202.

Almost surely, 2^{61642302770412} 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 61642302770412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101474165503200).

61642302770412 is an abundant number, since it is smaller than the sum of its proper divisors (141306028235988).

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

61642302770412 is a wasteful number, since it uses less digits than its factorization.

61642302770412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12274302 (or 12274287 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 61642302770412 in words is "sixty-one trillion, six hundred forty-two billion, three hundred two million, seven hundred seventy thousand, four hundred twelve".