742969926048 has 288 divisors, whose sum is σ = 2350023943680. Its totient is φ = 204716574720.

The previous prime is 742969926007. The next prime is 742969926077. The reversal of 742969926048 is 840629969247.

742969926048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×742969926048² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 742969926048.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42717738 + ... + 42735126.

It is an arithmetic number, because the mean of its divisors is an integer number (8159805360).

Almost surely, 2^742969926048 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 742969926048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175011971840).

742969926048 is an abundant number, since it is smaller than the sum of its proper divisors (1607054017632).

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

742969926048 is a wasteful number, since it uses less digits than its factorization.

742969926048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17740 (or 17725 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 742969926048 in words is "seven hundred forty-two billion, nine hundred sixty-nine million, nine hundred twenty-six thousand, forty-eight".