61956747648 has 96 divisors (see below), whose sum is σ = 180290518200. Its totient is φ = 20420167680.

The previous prime is 61956747647. The next prime is 61956747649. The reversal of 61956747648 is 84674765916.

It is a happy number.

61956747648 is a `hidden beast` number, since 6 + 1 + 9 + 567 + 4 + 7 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (61956747647) and next prime (61956747649).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61956747647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199618 + ... + 404673.

Almost surely, 2^61956747648 is an apocalyptic number.

It is an amenable number.

61956747648 is an abundant number, since it is smaller than the sum of its proper divisors (118333770552).

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

61956747648 is a wasteful number, since it uses less digits than its factorization.

61956747648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604400 (or 604385 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 61956747648 in words is "sixty-one billion, nine hundred fifty-six million, seven hundred forty-seven thousand, six hundred forty-eight".