61752225696 has 288 divisors, whose sum is σ = 193687623360. Its totient is φ = 17167417344.

The previous prime is 61752225683. The next prime is 61752225707. The reversal of 61752225696 is 69652225716.

It is a happy 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, 80301600 + ... + 80302368.

It is an arithmetic number, because the mean of its divisors is an integer number (672526470).

Almost surely, 2^61752225696 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 61752225696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96843811680).

61752225696 is an abundant number, since it is smaller than the sum of its proper divisors (131935397664).

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

61752225696 is a wasteful number, since it uses less digits than its factorization.

61752225696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1221 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The spelling of 61752225696 in words is "sixty-one billion, seven hundred fifty-two million, two hundred twenty-five thousand, six hundred ninety-six".