61767860000 has 480 divisors, whose sum is σ = 199520133120. Its totient is φ = 18230400000.

The previous prime is 61767859999. The next prime is 61767860017. The reversal of 61767860000 is 6876716.

61767860000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61767860000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29258945 + ... + 29261055.

It is an arithmetic number, because the mean of its divisors is an integer number (415666944).

Almost surely, 2^61767860000 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 61767860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99760066560).

61767860000 is an abundant number, since it is smaller than the sum of its proper divisors (137752273120).

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

61767860000 is a wasteful number, since it uses less digits than its factorization.

61767860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 61767860000 in words is "sixty-one billion, seven hundred sixty-seven million, eight hundred sixty thousand".