61735145472 has 936 divisors, whose sum is σ = 244723489920. Its totient is φ = 14739701760.

The previous prime is 61735145419. The next prime is 61735145497. The reversal of 61735145472 is 27454153716.

61735145472 is a `hidden beast` number, since 6 + 1 + 7 + 35 + 145 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×61735145472² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258305929 + ... + 258306167.

It is an arithmetic number, because the mean of its divisors is an integer number (261456720).

Almost surely, 2^61735145472 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 61735145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122361744960).

61735145472 is an abundant number, since it is smaller than the sum of its proper divisors (182988344448).

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

61735145472 is a wasteful number, since it uses less digits than its factorization.

61735145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 275 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 61735145472 in words is "sixty-one billion, seven hundred thirty-five million, one hundred forty-five thousand, four hundred seventy-two".