1672762007312 has 640 divisors, whose sum is σ = 4276526284800. Its totient is φ = 623185920000.

The previous prime is 1672762007303. The next prime is 1672762007327. The reversal of 1672762007312 is 2137002672761.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3628550762 + ... + 3628551222.

It is an arithmetic number, because the mean of its divisors is an integer number (6682072320).

Almost surely, 2^{1672762007312} 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 1672762007312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138263142400).

1672762007312 is an abundant number, since it is smaller than the sum of its proper divisors (2603764277488).

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

1672762007312 is a wasteful number, since it uses less digits than its factorization.

1672762007312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 1672762007312 in words is "one trillion, six hundred seventy-two billion, seven hundred sixty-two million, seven thousand, three hundred twelve".