60413218779744 has 576 divisors, whose sum is σ = 187165017144000. Its totient is φ = 18949667143680.

The previous prime is 60413218779677. The next prime is 60413218779757. The reversal of 60413218779744 is 44797781231406.

It is a happy number.

60413218779744 is a `hidden beast` number, since 6 + 0 + 413 + 2 + 1 + 87 + 79 + 74 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4972684582 + ... + 4972696730.

It is an arithmetic number, because the mean of its divisors is an integer number (324939265875).

Almost surely, 2^{60413218779744} 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 60413218779744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93582508572000).

60413218779744 is an abundant number, since it is smaller than the sum of its proper divisors (126751798364256).

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

60413218779744 is a wasteful number, since it uses less digits than its factorization.

60413218779744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12396 (or 12351 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 60413218779744 in words is "sixty trillion, four hundred thirteen billion, two hundred eighteen million, seven hundred seventy-nine thousand, seven hundred forty-four".