1607096969664 has 112 divisors (see below), whose sum is σ = 4345443379200. Its totient is φ = 524064992256.

The previous prime is 1607096969663. The next prime is 1607096969729. The reversal of 1607096969664 is 4669696907061.

It is a super-3 number, since 3×1607096969664³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1607096969663) 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, 1167289 + ... + 2139335.

It is an arithmetic number, because the mean of its divisors is an integer number (38798601600).

Almost surely, 2^{1607096969664} 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 1607096969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172721689600).

1607096969664 is an abundant number, since it is smaller than the sum of its proper divisors (2738346409536).

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

1607096969664 is a wasteful number, since it uses less digits than its factorization.

1607096969664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972250 (or 972240 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 69.

The spelling of 1607096969664 in words is "one trillion, six hundred seven billion, ninety-six million, nine hundred sixty-nine thousand, six hundred sixty-four".