60742554642432 has 1536 divisors, whose sum is σ = 212376003840000. Its totient is φ = 16991730008064.

The previous prime is 60742554642409. The next prime is 60742554642439. The reversal of 60742554642432 is 23424645524706.

60742554642432 is a `hidden beast` number, since 6 + 0 + 7 + 4 + 2 + 554 + 6 + 42 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (60742554642439) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34650629268 + ... + 34650631020.

It is an arithmetic number, because the mean of its divisors is an integer number (138265627500).

Almost surely, 2^{60742554642432} 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 60742554642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106188001920000).

60742554642432 is an abundant number, since it is smaller than the sum of its proper divisors (151633449197568).

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

60742554642432 is a wasteful number, since it uses less digits than its factorization.

60742554642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 54.

The spelling of 60742554642432 in words is "sixty trillion, seven hundred forty-two billion, five hundred fifty-four million, six hundred forty-two thousand, four hundred thirty-two".