738180967680 has 1512 divisors, whose sum is σ = 2982888147456. Its totient is φ = 174680064000.

The previous prime is 738180967613. The next prime is 738180967691. The reversal of 738180967680 is 86769081837.

It is a super-2 number, since 2×738180967680² (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 167 ways as a sum of consecutive naturals, for example, 4888615605 + ... + 4888615755.

Almost surely, 2^738180967680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738180967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491444073728).

738180967680 is an abundant number, since it is smaller than the sum of its proper divisors (2244707179776).

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

738180967680 is a wasteful number, since it uses less digits than its factorization.

738180967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 738180967680 in words is "seven hundred thirty-eight billion, one hundred eighty million, nine hundred sixty-seven thousand, six hundred eighty".