1610337072672 has 72 divisors (see below), whose sum is σ = 4607490639024. Its totient is φ = 533485885824.

The previous prime is 1610337072623. The next prime is 1610337072677. The reversal of 1610337072672 is 2762707330161.

1610337072672 is a `hidden beast` number, since 1 + 6 + 10 + 3 + 370 + 7 + 267 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1610337072672³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1610337072677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17104738 + ... + 17198625.

It is an arithmetic number, because the mean of its divisors is an integer number (63992925542).

Almost surely, 2^{1610337072672} is an apocalyptic number.

1610337072672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1610337072672 is an abundant number, since it is smaller than the sum of its proper divisors (2997153566352).

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

1610337072672 is a wasteful number, since it uses less digits than its factorization.

1610337072672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34303542 (or 34303531 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 1610337072672 in words is "one trillion, six hundred ten billion, three hundred thirty-seven million, seventy-two thousand, six hundred seventy-two".