61300576384 has 32 divisors (see below), whose sum is σ = 122660283600. Its totient is φ = 30515250432.

The previous prime is 61300576349. The next prime is 61300576423. The reversal of 61300576384 is 48367500316.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×61300576384³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61300576384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1025814 + ... + 1083925.

Almost surely, 2^61300576384 is an apocalyptic number.

61300576384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61300576384 is an abundant number, since it is smaller than the sum of its proper divisors (61359707216).

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

61300576384 is a wasteful number, since it uses less digits than its factorization.

61300576384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109980 (or 2109968 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 61300576384 in words is "sixty-one billion, three hundred million, five hundred seventy-six thousand, three hundred eighty-four".