61530463040640 has 128 divisors (see below), whose sum is σ = 213958201101120. Its totient is φ = 14916475883520.

The previous prime is 61530463040611. The next prime is 61530463040659. The reversal of 61530463040640 is 4604036403516.

61530463040640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 61530463040592 and 61530463040601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1456665979 + ... + 1456708218.

Almost surely, 2^{61530463040640} is an apocalyptic number.

61530463040640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61530463040640 is an abundant number, since it is smaller than the sum of its proper divisors (152427738060480).

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

61530463040640 is a wasteful number, since it uses less digits than its factorization.

61530463040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913374230 (or 2913374218 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 61530463040640 in words is "sixty-one trillion, five hundred thirty billion, four hundred sixty-three million, forty thousand, six hundred forty".