61384026564 has 243 divisors, whose sum is σ = 192294533613. Its totient is φ = 16459059456.

The previous prime is 61384026493. The next prime is 61384026589. The reversal of 61384026564 is 46562048316.

The square root of 61384026564 is 247758.

It is a perfect power (a square), and thus also a powerful number.

61384026564 is a `hidden beast` number, since 6 + 1 + 3 + 84 + 0 + 2 + 6 + 564 = 666.

61384026564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47790332100 + 13593694464 = 218610^2 + 116592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 176899039 + ... + 176899385.

Almost surely, 2^61384026564 is an apocalyptic number.

61384026564 is the 247758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61384026564

61384026564 is an abundant number, since it is smaller than the sum of its proper divisors (130910507049).

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

61384026564 is a wasteful number, since it uses less digits than its factorization.

61384026564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 61384026564 in words is "sixty-one billion, three hundred eighty-four million, twenty-six thousand, five hundred sixty-four".