738275952960 has 1344 divisors, whose sum is σ = 3232770637824. Its totient is φ = 150493593600.

The previous prime is 738275952959. The next prime is 738275953067. The reversal of 738275952960 is 69259572837.

738275952960 is a `hidden beast` number, since 7 + 38 + 2 + 7 + 595 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×738275952960² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1364650290 + ... + 1364650830.

It is an arithmetic number, because the mean of its divisors is an integer number (2405335296).

Almost surely, 2^738275952960 is an apocalyptic number.

738275952960 is a gapful number since it is divisible by the number (70) 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 738275952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616385318912).

738275952960 is an abundant number, since it is smaller than the sum of its proper divisors (2494494684864).

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

738275952960 is a wasteful number, since it uses less digits than its factorization.

738275952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 738275952960 in words is "seven hundred thirty-eight billion, two hundred seventy-five million, nine hundred fifty-two thousand, nine hundred sixty".