742277283840 has 192 divisors, whose sum is σ = 2573193764700. Its totient is φ = 197940215808.

The previous prime is 742277283817. The next prime is 742277283871. The reversal of 742277283840 is 48382772247.

It can be written as a sum of positive squares in 2 ways, for example, as 654623391744 + 87653892096 = 809088^2 + 296064^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×742277283840² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222866 + ... + 1726254.

Almost surely, 2^742277283840 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 742277283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286596882350).

742277283840 is an abundant number, since it is smaller than the sum of its proper divisors (1830916480860).

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

742277283840 is an equidigital number, since it uses as much as digits as its factorization.

742277283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503430 (or 503399 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 742277283840 in words is "seven hundred forty-two billion, two hundred seventy-seven million, two hundred eighty-three thousand, eight hundred forty".