742060835424 has 288 divisors, whose sum is σ = 2209663991808. Its totient is φ = 235952640000.

The previous prime is 742060835423. The next prime is 742060835449. The reversal of 742060835424 is 424538060247.

It is a happy number.

742060835424 is a `hidden beast` number, since 7 + 4 + 2 + 0 + 608 + 35 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 742060835424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742060835423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192691099 + ... + 192694949.

It is an arithmetic number, because the mean of its divisors is an integer number (7672444416).

Almost surely, 2^742060835424 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 742060835424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104831995904).

742060835424 is an abundant number, since it is smaller than the sum of its proper divisors (1467603156384).

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

742060835424 is a wasteful number, since it uses less digits than its factorization.

742060835424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 742060835424 in words is "seven hundred forty-two billion, sixty million, eight hundred thirty-five thousand, four hundred twenty-four".