61792976673792 has 880 divisors, whose sum is σ = 231745072081600. Its totient is φ = 16296951250944.

The previous prime is 61792976673749. The next prime is 61792976673809. The reversal of 61792976673792 is 29737667929716.

It is a happy number.

61792976673792 is a `hidden beast` number, since 6 + 17 + 92 + 97 + 6 + 67 + 379 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a congruent number.

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, 369763758 + ... + 369930834.

It is an arithmetic number, because the mean of its divisors is an integer number (263346672820).

Almost surely, 2^{61792976673792} 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 61792976673792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115872536040800).

61792976673792 is an abundant number, since it is smaller than the sum of its proper divisors (169952095407808).

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

61792976673792 is a wasteful number, since it uses less digits than its factorization.

61792976673792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167143 (or 167102 counting only the distinct ones).

The product of its digits is 4536852768, while the sum is 81.

The spelling of 61792976673792 in words is "sixty-one trillion, seven hundred ninety-two billion, nine hundred seventy-six million, six hundred seventy-three thousand, seven hundred ninety-two".