1071607061664 has 96 divisors (see below), whose sum is σ = 3126058246080. Its totient is φ = 357140908800.

The previous prime is 1071607061663. The next prime is 1071607061699. The reversal of 1071607061664 is 4661607061701.

1071607061664 is a `hidden beast` number, since 10 + 7 + 16 + 0 + 7 + 0 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1071607061664² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1071607061663) 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, 5063899 + ... + 5271269.

It is an arithmetic number, because the mean of its divisors is an integer number (32563106730).

Almost surely, 2^{1071607061664} is an apocalyptic number.

It is an amenable number.

1071607061664 is an abundant number, since it is smaller than the sum of its proper divisors (2054451184416).

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

1071607061664 is a wasteful number, since it uses less digits than its factorization.

1071607061664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213371 (or 213357 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1071607061664 in words is "one trillion, seventy-one billion, six hundred seven million, sixty-one thousand, six hundred sixty-four".