60127344742320 has 320 divisors, whose sum is σ = 207352197360000. Its totient is φ = 16014857048064.

The previous prime is 60127344742307. The next prime is 60127344742321. The reversal of 60127344742320 is 2324744372106.

60127344742320 is a `hidden beast` number, since 6 + 0 + 1 + 2 + 7 + 344 + 74 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (60127344742321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7964937906 + ... + 7964945454.

It is an arithmetic number, because the mean of its divisors is an integer number (647975616750).

Almost surely, 2^{60127344742320} is an apocalyptic number.

60127344742320 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 60127344742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103676098680000).

60127344742320 is an abundant number, since it is smaller than the sum of its proper divisors (147224852617680).

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

60127344742320 is a wasteful number, since it uses less digits than its factorization.

60127344742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11477 (or 11465 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 60127344742320 in words is "sixty trillion, one hundred twenty-seven billion, three hundred forty-four million, seven hundred forty-two thousand, three hundred twenty".