742915385234736 has 320 divisors, whose sum is σ = 2326667433753600. Its totient is φ = 199407840952320.

The previous prime is 742915385234731. The next prime is 742915385234741. The reversal of 742915385234736 is 637432583519247.

It is a happy number.

742915385234736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (742915385234731) and next prime (742915385234741).

It is not an unprimeable number, because it can be changed into a prime (742915385234731) 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, 17970405426 + ... + 17970446766.

It is an arithmetic number, because the mean of its divisors is an integer number (7270835730480).

Almost surely, 2^{742915385234736} 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 742915385234736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163333716876800).

742915385234736 is an abundant number, since it is smaller than the sum of its proper divisors (1583752048518864).

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

742915385234736 is a wasteful number, since it uses less digits than its factorization.

742915385234736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47092 (or 47086 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 69.

The spelling of 742915385234736 in words is "seven hundred forty-two trillion, nine hundred fifteen billion, three hundred eighty-five million, two hundred thirty-four thousand, seven hundred thirty-six".