742218048 has 168 divisors, whose sum is σ = 2499640416. Its totient is φ = 207590400.

The previous prime is 742218017. The next prime is 742218137. The reversal of 742218048 is 840812247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 77863 + ... + 86873.

It is an arithmetic number, because the mean of its divisors is an integer number (14878812).

Almost surely, 2^742218048 is an apocalyptic number.

742218048 is a gapful number since it is divisible by the number (78) 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 742218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249820208).

742218048 is an abundant number, since it is smaller than the sum of its proper divisors (1757422368).

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

742218048 is a wasteful number, since it uses less digits than its factorization.

742218048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9053 (or 9040 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 742218048 is about 27243.6790467073. The cubic root of 742218048 is about 905.4069770952.

It can be divided in two parts, 74 and 2218048, that added together give a palindrome (2218122).

The spelling of 742218048 in words is "seven hundred forty-two million, two hundred eighteen thousand, forty-eight".