1607747668016 has 80 divisors (see below), whose sum is σ = 3616825175040. Its totient is φ = 678095608320.

The previous prime is 1607747668013. The next prime is 1607747668057. The reversal of 1607747668016 is 6108667477061.

It is a super-2 number, since 2×1607747668016² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1607747668013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2420396 + ... + 3012276.

It is an arithmetic number, because the mean of its divisors is an integer number (45210314688).

Almost surely, 2^{1607747668016} is an apocalyptic number.

1607747668016 is a gapful number since it is divisible by the number (16) 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 1607747668016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808412587520).

1607747668016 is an abundant number, since it is smaller than the sum of its proper divisors (2009077507024).

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

1607747668016 is a wasteful number, since it uses less digits than its factorization.

1607747668016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592282 (or 592276 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 59.

The spelling of 1607747668016 in words is "one trillion, six hundred seven billion, seven hundred forty-seven million, six hundred sixty-eight thousand, sixteen".