61453824768 has 576 divisors, whose sum is σ = 213742878720. Its totient is φ = 17055940608.

The previous prime is 61453824767. The next prime is 61453824769. The reversal of 61453824768 is 86742835416.

It is a happy number.

61453824768 is a `hidden beast` number, since 6 + 1 + 4 + 538 + 2 + 47 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (61453824767) and next prime (61453824769).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61453824763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448567996 + ... + 448568132.

Almost surely, 2^61453824768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61453824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106871439360).

61453824768 is an abundant number, since it is smaller than the sum of its proper divisors (152289053952).

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

61453824768 is a wasteful number, since it uses less digits than its factorization.

61453824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 61453824768 in words is "sixty-one billion, four hundred fifty-three million, eight hundred twenty-four thousand, seven hundred sixty-eight".