1004097612672 has 768 divisors, whose sum is σ = 3667270464000. Its totient is φ = 256148766720.

The previous prime is 1004097612659. The next prime is 1004097612673. The reversal of 1004097612672 is 2762167904001.

1004097612672 is a `hidden beast` number, since 100 + 409 + 76 + 1 + 2 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004097612673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1523668279 + ... + 1523668937.

It is an arithmetic number, because the mean of its divisors is an integer number (4775091750).

Almost surely, 2^{1004097612672} is an apocalyptic number.

1004097612672 is a gapful number since it is divisible by the number (12) 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 1004097612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833635232000).

1004097612672 is an abundant number, since it is smaller than the sum of its proper divisors (2663172851328).

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

1004097612672 is a wasteful number, since it uses less digits than its factorization.

1004097612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 964 counting only the distinct ones).

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

The spelling of 1004097612672 in words is "one trillion, four billion, ninety-seven million, six hundred twelve thousand, six hundred seventy-two".