742374713013120 has 2304 divisors, whose sum is σ = 3066360530688000. Its totient is φ = 164748084019200.

The previous prime is 742374713013067. The next prime is 742374713013121. The reversal of 742374713013120 is 21310317473247.

742374713013120 is a `hidden beast` number, since 7 + 4 + 23 + 7 + 4 + 7 + 1 + 301 + 312 + 0 = 666.

It is a super-2 number, since 2×742374713013120² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742374713013121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 458539043671 + ... + 458539045289.

It is an arithmetic number, because the mean of its divisors is an integer number (1330885647000).

Almost surely, 2^{742374713013120} 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 742374713013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533180265344000).

742374713013120 is an abundant number, since it is smaller than the sum of its proper divisors (2323985817674880).

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

742374713013120 is a wasteful number, since it uses less digits than its factorization.

742374713013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 742374713013120 in words is "seven hundred forty-two trillion, three hundred seventy-four billion, seven hundred thirteen million, thirteen thousand, one hundred twenty".