742636218240 has 1024 divisors, whose sum is σ = 3146537779200. Its totient is φ = 161959772160.

The previous prime is 742636218227. The next prime is 742636218263. The reversal of 742636218240 is 42812636247.

It is a happy number.

742636218240 is a `hidden beast` number, since 7 + 4 + 2 + 636 + 2 + 1 + 8 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273731124 + ... + 273733836.

It is an arithmetic number, because the mean of its divisors is an integer number (3072790800).

Almost surely, 2^742636218240 is an apocalyptic number.

742636218240 is a gapful number since it is divisible by the number (70) 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 742636218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573268889600).

742636218240 is an abundant number, since it is smaller than the sum of its proper divisors (2403901560960).

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

742636218240 is a wasteful number, since it uses less digits than its factorization.

742636218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 742636218240 in words is "seven hundred forty-two billion, six hundred thirty-six million, two hundred eighteen thousand, two hundred forty".