61245394560 has 384 divisors, whose sum is σ = 244625996160. Its totient is φ = 13829529600.

The previous prime is 61245394517. The next prime is 61245394577. The reversal of 61245394560 is 6549354216.

61245394560 is a `hidden beast` number, since 6 + 12 + 4 + 539 + 45 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3337410 + ... + 3355710.

It is an arithmetic number, because the mean of its divisors is an integer number (637046865).

Almost surely, 2^61245394560 is an apocalyptic number.

61245394560 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 61245394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122312998080).

61245394560 is an abundant number, since it is smaller than the sum of its proper divisors (183380601600).

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

61245394560 is a wasteful number, since it uses less digits than its factorization.

61245394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18416 (or 18401 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 61245394560 in words is "sixty-one billion, two hundred forty-five million, three hundred ninety-four thousand, five hundred sixty".