61345382400 has 675 divisors, whose sum is σ = 232666769181. Its totient is φ = 15978332160.

The previous prime is 61345382369. The next prime is 61345382437. The reversal of 61345382400 is 428354316.

The square root of 61345382400 is 247680.

It is a perfect power (a square), and thus also a powerful number.

61345382400 is a `hidden beast` number, since 613 + 4 + 5 + 38 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22084337664 + 39261044736 = 148608^2 + 198144^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1426636779 + ... + 1426636821.

Almost surely, 2^61345382400 is an apocalyptic number.

61345382400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61345382400 is the 247680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61345382400

61345382400 is an abundant number, since it is smaller than the sum of its proper divisors (171321386781).

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

61345382400 is an frugal number, since it uses more digits than its factorization.

61345382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 61345382400 by its sum of digits (36), we get a square (2208433766400 = 1486080²).

61345382400 divided by its sum of digits (36) gives a square (1704038400 = 41280²).

The spelling of 61345382400 in words is "sixty-one billion, three hundred forty-five million, three hundred eighty-two thousand, four hundred".