1000974832704 has 840 divisors, whose sum is σ = 3930233431872. Its totient is φ = 244671528960.

The previous prime is 1000974832681. The next prime is 1000974832717. The reversal of 1000974832704 is 4072384790001.

1000974832704 is a `hidden beast` number, since 10 + 0 + 0 + 97 + 483 + 2 + 70 + 4 = 666.

1000974832704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1000974832704³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000974832704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 115355214 + ... + 115363890.

Almost surely, 2^{1000974832704} is an apocalyptic number.

1000974832704 is a gapful number since it is divisible by the number (14) 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 1000974832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965116715936).

1000974832704 is an abundant number, since it is smaller than the sum of its proper divisors (2929258599168).

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

1000974832704 is a wasteful number, since it uses less digits than its factorization.

1000974832704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8753 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1000974832704 in words is "one trillion, nine hundred seventy-four million, eight hundred thirty-two thousand, seven hundred four".