742835009952 has 960 divisors, whose sum is σ = 2733039429120. Its totient is φ = 193093632000.

The previous prime is 742835009933. The next prime is 742835009957. The reversal of 742835009952 is 259900538247.

742835009952 is a `hidden beast` number, since 7 + 4 + 2 + 83 + 500 + 9 + 9 + 52 = 666.

742835009952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (742835009957) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1909601374 + ... + 1909601762.

It is an arithmetic number, because the mean of its divisors is an integer number (2846916072).

Almost surely, 2^742835009952 is an apocalyptic number.

742835009952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742835009952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366519714560).

742835009952 is an abundant number, since it is smaller than the sum of its proper divisors (1990204419168).

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

742835009952 is a wasteful number, since it uses less digits than its factorization.

742835009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 742835009952 in words is "seven hundred forty-two billion, eight hundred thirty-five million, nine thousand, nine hundred fifty-two".