738147260760 has 512 divisors, whose sum is σ = 2820361420800. Its totient is φ = 150343464960.

The previous prime is 738147260759. The next prime is 738147260777. The reversal of 738147260760 is 67062741837.

It is a happy number.

It is a super-2 number, since 2×738147260760² (a number of 25 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 148607797 + ... + 148612763.

It is an arithmetic number, because the mean of its divisors is an integer number (5508518400).

Almost surely, 2^738147260760 is an apocalyptic number.

738147260760 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 738147260760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410180710400).

738147260760 is an abundant number, since it is smaller than the sum of its proper divisors (2082214160040).

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

738147260760 is a wasteful number, since it uses less digits than its factorization.

738147260760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 738147260760 in words is "seven hundred thirty-eight billion, one hundred forty-seven million, two hundred sixty thousand, seven hundred sixty".