61428745297920 has 3584 divisors, whose sum is σ = 289358108282880. Its totient is φ = 10696481832960.

The previous prime is 61428745297867. The next prime is 61428745297961. The reversal of 61428745297920 is 2979254782416.

61428745297920 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 (3584).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 60640419334 + ... + 60640420346.

It is an arithmetic number, because the mean of its divisors is an integer number (80736079320).

Almost surely, 2^{61428745297920} is an apocalyptic number.

61428745297920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61428745297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144679054141440).

61428745297920 is an abundant number, since it is smaller than the sum of its proper divisors (227929362984960).

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

61428745297920 is a wasteful number, since it uses less digits than its factorization.

61428745297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 61428745297920 in words is "sixty-one trillion, four hundred twenty-eight billion, seven hundred forty-five million, two hundred ninety-seven thousand, nine hundred twenty".