61429582368 has 144 divisors (see below), whose sum is σ = 217795870656. Its totient is φ = 15955729920.

The previous prime is 61429582363. The next prime is 61429582381. The reversal of 61429582368 is 86328592416.

61429582368 is a `hidden beast` number, since 6 + 1 + 4 + 29 + 582 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (61429582363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362871 + ... + 1407222.

It is an arithmetic number, because the mean of its divisors is an integer number (1512471324).

Almost surely, 2^61429582368 is an apocalyptic number.

It is an amenable number.

61429582368 is an abundant number, since it is smaller than the sum of its proper divisors (156366288288).

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

61429582368 is a wasteful number, since it uses less digits than its factorization.

61429582368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770127 (or 2770116 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 61429582368 in words is "sixty-one billion, four hundred twenty-nine million, five hundred eighty-two thousand, three hundred sixty-eight".