61359448320 has 576 divisors, whose sum is σ = 224372332800. Its totient is φ = 15872163840.

The previous prime is 61359448301. The next prime is 61359448327. The reversal of 61359448320 is 2384495316.

61359448320 is a `hidden beast` number, since 6 + 13 + 594 + 48 + 3 + 2 + 0 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (61359448327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254603400 + ... + 254603640.

It is an arithmetic number, because the mean of its divisors is an integer number (389535300).

Almost surely, 2^61359448320 is an apocalyptic number.

61359448320 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 61359448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112186166400).

61359448320 is an abundant number, since it is smaller than the sum of its proper divisors (163012884480).

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

61359448320 is a wasteful number, since it uses less digits than its factorization.

61359448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 61359448320 in words is "sixty-one billion, three hundred fifty-nine million, four hundred forty-eight thousand, three hundred twenty".