742488768 has 420 divisors, whose sum is σ = 2662793760. Its totient is φ = 203793408.

The previous prime is 742488763. The next prime is 742488809. The reversal of 742488768 is 867884247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4816896) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (742488763) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9398553 + ... + 9398631.

Almost surely, 2^742488768 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 742488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331396880).

742488768 is an abundant number, since it is smaller than the sum of its proper divisors (1920304992).

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

742488768 is a wasteful number, since it uses less digits than its factorization.

742488768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 742488768 is about 27248.6470856812. The cubic root of 742488768 is about 905.5170444725.

It can be divided in two parts, 74 and 2488768, that added together give a palindrome (2488842).

The spelling of 742488768 in words is "seven hundred forty-two million, four hundred eighty-eight thousand, seven hundred sixty-eight".