61960774940960 has 576 divisors, whose sum is σ = 178509926891520. Its totient is φ = 20297219604480.

The previous prime is 61960774940957. The next prime is 61960774940983. The reversal of 61960774940960 is 6904947706916.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7564490465 + ... + 7564498655.

It is an arithmetic number, because the mean of its divisors is an integer number (309913067520).

Almost surely, 2^{61960774940960} 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 61960774940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89254963445760).

61960774940960 is an abundant number, since it is smaller than the sum of its proper divisors (116549151950560).

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

61960774940960 is an frugal number, since it uses more digits than its factorization.

61960774940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8367 (or 8331 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 68.

The spelling of 61960774940960 in words is "sixty-one trillion, nine hundred sixty billion, seven hundred seventy-four million, nine hundred forty thousand, nine hundred sixty".