742998845952 has 320 divisors, whose sum is σ = 2457806440320. Its totient is φ = 219657830400.

The previous prime is 742998845951. The next prime is 742998845977. The reversal of 742998845952 is 259548899247.

742998845952 is a `hidden beast` number, since 7 + 4 + 2 + 99 + 88 + 459 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (742998845951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6175038 + ... + 6294210.

It is an arithmetic number, because the mean of its divisors is an integer number (7680645126).

Almost surely, 2^742998845952 is an apocalyptic number.

742998845952 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 742998845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228903220160).

742998845952 is an abundant number, since it is smaller than the sum of its proper divisors (1714807594368).

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

742998845952 is a wasteful number, since it uses less digits than its factorization.

742998845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119252 (or 119230 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 742998845952 in words is "seven hundred forty-two billion, nine hundred ninety-eight million, eight hundred forty-five thousand, nine hundred fifty-two".