61730792900 has 432 divisors, whose sum is σ = 172223976960. Its totient is φ = 19072972800.

The previous prime is 61730792867. The next prime is 61730792909. The reversal of 61730792900 is 929703716.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (61730792909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 210685154 + ... + 210685446.

Almost surely, 2^61730792900 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 61730792900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86111988480).

61730792900 is an abundant number, since it is smaller than the sum of its proper divisors (110493184060).

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

61730792900 is a wasteful number, since it uses less digits than its factorization.

61730792900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 44.

The spelling of 61730792900 in words is "sixty-one billion, seven hundred thirty million, seven hundred ninety-two thousand, nine hundred".