61968851010 has 768 divisors, whose sum is σ = 207275397120. Its totient is φ = 13028843520.

The previous prime is 61968851003. The next prime is 61968851017. The reversal of 61968851010 is 1015886916.

61968851010 is a `hidden beast` number, since 61 + 9 + 68 + 8 + 510 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (61968851003) and next prime (61968851017).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61968851017) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 848888334 + ... + 848888406.

It is an arithmetic number, because the mean of its divisors is an integer number (269889840).

Almost surely, 2^61968851010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61968851010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103637698560).

61968851010 is an abundant number, since it is smaller than the sum of its proper divisors (145306546110).

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

61968851010 is a wasteful number, since it uses less digits than its factorization.

61968851010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 61968851010 in words is "sixty-one billion, nine hundred sixty-eight million, eight hundred fifty-one thousand, ten".