61309647360 has 960 divisors, whose sum is σ = 245751770880. Its totient is φ = 14399078400.

The previous prime is 61309647349. The next prime is 61309647367. The reversal of 61309647360 is 6374690316.

61309647360 is a `hidden beast` number, since 6 + 1 + 30 + 96 + 473 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (61309647367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 863516125 + ... + 863516195.

It is an arithmetic number, because the mean of its divisors is an integer number (255991428).

Almost surely, 2^61309647360 is an apocalyptic number.

61309647360 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 61309647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122875885440).

61309647360 is an abundant number, since it is smaller than the sum of its proper divisors (184442123520).

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

61309647360 is a wasteful number, since it uses less digits than its factorization.

61309647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 61309647360 in words is "sixty-one billion, three hundred nine million, six hundred forty-seven thousand, three hundred sixty".