738012509986752 has 7056 divisors, whose sum is σ = 3299139644336928. Its totient is φ = 160365973340160.

The previous prime is 738012509986727. The next prime is 738012509986771. The reversal of 738012509986752 is 257689905210837.

738012509986752 is a `hidden beast` number, since 7 + 3 + 8 + 0 + 1 + 2 + 509 + 9 + 8 + 67 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (7056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 7608376391568 + ... + 7608376391664.

It is an arithmetic number, because the mean of its divisors is an integer number (467565142338).

Almost surely, 2^{738012509986752} is an apocalyptic number.

738012509986752 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 738012509986752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649569822168464).

738012509986752 is an abundant number, since it is smaller than the sum of its proper divisors (2561127134350176).

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

738012509986752 is a wasteful number, since it uses less digits than its factorization.

738012509986752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 738012509986752 in words is "seven hundred thirty-eight trillion, twelve billion, five hundred nine million, nine hundred eighty-six thousand, seven hundred fifty-two".