61683316992 has 720 divisors, whose sum is σ = 216774539520. Its totient is φ = 17244057600.

The previous prime is 61683316963. The next prime is 61683317029. The reversal of 61683316992 is 29961338616.

61683316992 is a `hidden beast` number, since 6 + 168 + 331 + 69 + 92 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2519424) is a multiple of the sum of its prime factors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 186354267 + ... + 186354597.

Almost surely, 2^61683316992 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 61683316992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108387269760).

61683316992 is an abundant number, since it is smaller than the sum of its proper divisors (155091222528).

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

61683316992 is a wasteful number, since it uses less digits than its factorization.

61683316992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 61683316992 in words is "sixty-one billion, six hundred eighty-three million, three hundred sixteen thousand, nine hundred ninety-two".