379727126102016 has 2560 divisors, whose sum is σ = 1483532886528000. Its totient is φ = 93908002406400.

The previous prime is 379727126101997. The next prime is 379727126102057. The reversal of 379727126102016 is 610201621727973.

379727126102016 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 2 + 7 + 1 + 2 + 610 + 2 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 468220870251 + ... + 468220871061.

It is an arithmetic number, because the mean of its divisors is an integer number (579505033800).

Almost surely, 2^{379727126102016} is an apocalyptic number.

379727126102016 is a gapful number since it is divisible by the number (36) 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 379727126102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741766443264000).

379727126102016 is an abundant number, since it is smaller than the sum of its proper divisors (1103805760425984).

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

379727126102016 is an equidigital number, since it uses as much as digits as its factorization.

379727126102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

Adding to 379727126102016 its reverse (610201621727973), we get a palindrome (989928747829989).

The spelling of 379727126102016 in words is "three hundred seventy-nine trillion, seven hundred twenty-seven billion, one hundred twenty-six million, one hundred two thousand, sixteen".