61730242560 has 720 divisors, whose sum is σ = 254192230656. Its totient is φ = 14077919232.

The previous prime is 61730242549. The next prime is 61730242577. The reversal of 61730242560 is 6524203716.

61730242560 is a `hidden beast` number, since 6 + 1 + 73 + 0 + 24 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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, 139345699 + ... + 139346141.

Almost surely, 2^61730242560 is an apocalyptic number.

61730242560 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 61730242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127096115328).

61730242560 is an abundant number, since it is smaller than the sum of its proper divisors (192461988096).

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

61730242560 is an frugal number, since it uses more digits than its factorization.

61730242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 61730242560 in words is "sixty-one billion, seven hundred thirty million, two hundred forty-two thousand, five hundred sixty".