60347177782416 has 480 divisors, whose sum is σ = 203843381760000. Its totient is φ = 17042490243072.

The previous prime is 60347177782387. The next prime is 60347177782421. The reversal of 60347177782416 is 61428777174306.

It is a happy number.

60347177782416 is a `hidden beast` number, since 6 + 0 + 3 + 4 + 71 + 7 + 77 + 82 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 723120660 + ... + 723204108.

It is an arithmetic number, because the mean of its divisors is an integer number (424673712000).

Almost surely, 2^{60347177782416} 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 60347177782416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101921690880000).

60347177782416 is an abundant number, since it is smaller than the sum of its proper divisors (143496203977584).

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

60347177782416 is a wasteful number, since it uses less digits than its factorization.

60347177782416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83876 (or 83857 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 60347177782416 in words is "sixty trillion, three hundred forty-seven billion, one hundred seventy-seven million, seven hundred eighty-two thousand, four hundred sixteen".