61684260736 has 192 divisors, whose sum is σ = 145944190800. Its totient is φ = 25887375360.

The previous prime is 61684260727. The next prime is 61684260749. The reversal of 61684260736 is 63706248616.

61684260736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 61684260736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96230976 + ... + 96231616.

Almost surely, 2^61684260736 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 61684260736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72972095400).

61684260736 is an abundant number, since it is smaller than the sum of its proper divisors (84259930064).

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

61684260736 is a wasteful number, since it uses less digits than its factorization.

61684260736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 61684260736 in words is "sixty-one billion, six hundred eighty-four million, two hundred sixty thousand, seven hundred thirty-six".