742336762752 has 320 divisors, whose sum is σ = 2482569603360. Its totient is φ = 218479472640.

The previous prime is 742336762751. The next prime is 742336762801. The reversal of 742336762752 is 257267633247.

742336762752 is a `hidden beast` number, since 7 + 4 + 2 + 3 + 3 + 6 + 7 + 627 + 5 + 2 = 666.

It is a super-2 number, since 2×742336762752² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742336762751) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2980302 + ... + 3219762.

Almost surely, 2^742336762752 is an apocalyptic number.

742336762752 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 742336762752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241284801680).

742336762752 is an abundant number, since it is smaller than the sum of its proper divisors (1740232840608).

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

742336762752 is a wasteful number, since it uses less digits than its factorization.

742336762752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239523 (or 239502 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 54.

The spelling of 742336762752 in words is "seven hundred forty-two billion, three hundred thirty-six million, seven hundred sixty-two thousand, seven hundred fifty-two".