61779116568096 has 480 divisors, whose sum is σ = 188403998872320. Its totient is φ = 19847614685184.

The previous prime is 61779116568089. The next prime is 61779116568179. The reversal of 61779116568096 is 69086561197716.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3377929320 + ... + 3377947608.

It is an arithmetic number, because the mean of its divisors is an integer number (392508330984).

Almost surely, 2^{61779116568096} 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 61779116568096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94201999436160).

61779116568096 is an abundant number, since it is smaller than the sum of its proper divisors (126624882304224).

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

61779116568096 is a wasteful number, since it uses less digits than its factorization.

61779116568096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18798 (or 18781 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 61779116568096 in words is "sixty-one trillion, seven hundred seventy-nine billion, one hundred sixteen million, five hundred sixty-eight thousand, ninety-six".