60849479741760 has 560 divisors, whose sum is σ = 229917533850576. Its totient is φ = 15223199367168.

The previous prime is 60849479741759. The next prime is 60849479741779. The reversal of 60849479741760 is 6714797494806.

60849479741760 is a `hidden beast` number, since 6 + 0 + 8 + 49 + 479 + 7 + 41 + 76 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15826775410944 + 45022704330816 = 3978288^2 + 6709896^2 .

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

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, 137699724 + ... + 138140916.

Almost surely, 2^{60849479741760} is an apocalyptic number.

60849479741760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60849479741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114958766925288).

60849479741760 is an abundant number, since it is smaller than the sum of its proper divisors (169068054108816).

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

60849479741760 is a wasteful number, since it uses less digits than its factorization.

60849479741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441552 (or 441533 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 60849479741760 in words is "sixty trillion, eight hundred forty-nine billion, four hundred seventy-nine million, seven hundred forty-one thousand, seven hundred sixty".