738768715776 has 1216 divisors, whose sum is σ = 2856147804160. Its totient is φ = 183458856960.

The previous prime is 738768715721. The next prime is 738768715801. The reversal of 738768715776 is 677517867837.

738768715776 is a `hidden beast` number, since 7 + 387 + 68 + 71 + 57 + 76 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19966722030 + ... + 19966722066.

It is an arithmetic number, because the mean of its divisors is an integer number (2348805760).

Almost surely, 2^738768715776 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 738768715776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428073902080).

738768715776 is an abundant number, since it is smaller than the sum of its proper divisors (2117379088384).

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

738768715776 is an equidigital number, since it uses as much as digits as its factorization.

738768715776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its digits is 580849920, while the sum is 72.

The spelling of 738768715776 in words is "seven hundred thirty-eight billion, seven hundred sixty-eight million, seven hundred fifteen thousand, seven hundred seventy-six".