742468329792 has 336 divisors, whose sum is σ = 2556020401792. Its totient is φ = 201598709760.

The previous prime is 742468329781. The next prime is 742468329919. The reversal of 742468329792 is 297923864247.

742468329792 is a `hidden beast` number, since 7 + 424 + 6 + 8 + 32 + 97 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6357042 + ... + 6472782.

Almost surely, 2^742468329792 is an apocalyptic number.

742468329792 is a gapful number since it is divisible by the number (72) 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 742468329792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278010200896).

742468329792 is an abundant number, since it is smaller than the sum of its proper divisors (1813552072000).

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

742468329792 is a wasteful number, since it uses less digits than its factorization.

742468329792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115846 (or 115833 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 742468329792 in words is "seven hundred forty-two billion, four hundred sixty-eight million, three hundred twenty-nine thousand, seven hundred ninety-two".