742145310720 has 1440 divisors, whose sum is σ = 3012257203200. Its totient is φ = 173101547520.

The previous prime is 742145310689. The next prime is 742145310757. The reversal of 742145310720 is 27013541247.

742145310720 is a `hidden beast` number, since 7 + 42 + 14 + 531 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12578734051 + ... + 12578734109.

It is an arithmetic number, because the mean of its divisors is an integer number (2091845280).

Almost surely, 2^742145310720 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 742145310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506128601600).

742145310720 is an abundant number, since it is smaller than the sum of its proper divisors (2270111892480).

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

742145310720 is a wasteful number, since it uses less digits than its factorization.

742145310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 742145310720 its reverse (27013541247), we get a palindrome (769158851967).

The spelling of 742145310720 in words is "seven hundred forty-two billion, one hundred forty-five million, three hundred ten thousand, seven hundred twenty".