738415668480 has 576 divisors, whose sum is σ = 2777432985600. Its totient is φ = 167111368704.

The previous prime is 738415668479. The next prime is 738415668503. The reversal of 738415668480 is 84866514837.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 135660639 + ... + 135666081.

Almost surely, 2^738415668480 is an apocalyptic number.

738415668480 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 738415668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388716492800).

738415668480 is an abundant number, since it is smaller than the sum of its proper divisors (2039017317120).

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

738415668480 is a wasteful number, since it uses less digits than its factorization.

738415668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 738415668480 in words is "seven hundred thirty-eight billion, four hundred fifteen million, six hundred sixty-eight thousand, four hundred eighty".