61967013968340 has 192 divisors, whose sum is σ = 207661249931520. Its totient is φ = 15250092756480.

The previous prime is 61967013968339. The next prime is 61967013968399. The reversal of 61967013968340 is 4386931076916.

61967013968340 is a `hidden beast` number, since 6 + 1 + 96 + 70 + 139 + 6 + 8 + 340 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31310835 + ... + 33231045.

It is an arithmetic number, because the mean of its divisors is an integer number (1081569010060).

Almost surely, 2^{61967013968340} is an apocalyptic number.

61967013968340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61967013968340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103830624965760).

61967013968340 is an abundant number, since it is smaller than the sum of its proper divisors (145694235963180).

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

61967013968340 is a wasteful number, since it uses less digits than its factorization.

61967013968340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924839 (or 1924831 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 61967013968340 in words is "sixty-one trillion, nine hundred sixty-seven billion, thirteen million, nine hundred sixty-eight thousand, three hundred forty".