61742083200 has 768 divisors, whose sum is σ = 248426956800. Its totient is φ = 13170769920.

The previous prime is 61742083189. The next prime is 61742083201. The reversal of 61742083200 is 238024716.

It is not an unprimeable number, because it can be changed into a prime (61742083201) 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, 66460336 + ... + 66461264.

It is an arithmetic number, because the mean of its divisors is an integer number (323472600).

Almost surely, 2^61742083200 is an apocalyptic number.

61742083200 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 61742083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124213478400).

61742083200 is an abundant number, since it is smaller than the sum of its proper divisors (186684873600).

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

61742083200 is a wasteful number, since it uses less digits than its factorization.

61742083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 61742083200 in words is "sixty-one billion, seven hundred forty-two million, eighty-three thousand, two hundred".