61734160000 has 160 divisors (see below), whose sum is σ = 155066066100. Its totient is φ = 24471552000.

The previous prime is 61734159997. The next prime is 61734160001. The reversal of 61734160000 is 6143716.

It can be written as a sum of positive squares in 10 ways, for example, as 19037376576 + 42696783424 = 137976^2 + 206632^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×61734160000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61734160001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9036586 + ... + 9043414.

Almost surely, 2^61734160000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61734160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77533033050).

61734160000 is an abundant number, since it is smaller than the sum of its proper divisors (93331906100).

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

61734160000 is an equidigital number, since it uses as much as digits as its factorization.

61734160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 61734160000 in words is "sixty-one billion, seven hundred thirty-four million, one hundred sixty thousand".