742807566224352 has 72 divisors (see below), whose sum is σ = 2113987667487696. Its totient is φ = 247411617924096.

The previous prime is 742807566224299. The next prime is 742807566224359. The reversal of 742807566224352 is 253422665708247.

742807566224352 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 0 + 7 + 56 + 6 + 224 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×742807566224352³ (a number of 46 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 742807566224352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742807566224359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993918268 + ... + 994665339.

It is an arithmetic number, because the mean of its divisors is an integer number (29360939826218).

Almost surely, 2^{742807566224352} is an apocalyptic number.

742807566224352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

742807566224352 is an abundant number, since it is smaller than the sum of its proper divisors (1371180101263344).

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

742807566224352 is a wasteful number, since it uses less digits than its factorization.

742807566224352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988584920 (or 1988584909 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 742807566224352 in words is "seven hundred forty-two trillion, eight hundred seven billion, five hundred sixty-six million, two hundred twenty-four thousand, three hundred fifty-two".