742771934736 has 160 divisors (see below), whose sum is σ = 2076646336128. Its totient is φ = 227417088000.

The previous prime is 742771934687. The next prime is 742771934747. The reversal of 742771934736 is 637439177247.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 742771934736.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256392040 + ... + 256394936.

Almost surely, 2^742771934736 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 742771934736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038323168064).

742771934736 is an abundant number, since it is smaller than the sum of its proper divisors (1333874401392).

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

742771934736 is a wasteful number, since it uses less digits than its factorization.

742771934736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4803 counting only the distinct ones).

The product of its digits is 37340352, while the sum is 60.

The spelling of 742771934736 in words is "seven hundred forty-two billion, seven hundred seventy-one million, nine hundred thirty-four thousand, seven hundred thirty-six".