738364999680 has 1440 divisors, whose sum is σ = 3327728564160. Its totient is φ = 153280512000.

The previous prime is 738364999667. The next prime is 738364999699. The reversal of 738364999680 is 86999463837.

738364999680 is a `hidden beast` number, since 73 + 8 + 3 + 6 + 499 + 9 + 68 + 0 = 666.

738364999680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 738364999599 and 738364999608.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 702535155 + ... + 702536205.

It is an arithmetic number, because the mean of its divisors is an integer number (2310922614).

Almost surely, 2^738364999680 is an apocalyptic number.

738364999680 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 738364999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663864282080).

738364999680 is an abundant number, since it is smaller than the sum of its proper divisors (2589363564480).

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

738364999680 is a wasteful number, since it uses less digits than its factorization.

738364999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 738364999680 in words is "seven hundred thirty-eight billion, three hundred sixty-four million, nine hundred ninety-nine thousand, six hundred eighty".