1073129764680 has 128 divisors (see below), whose sum is σ = 3578696438400. Its totient is φ = 286040160000.

The previous prime is 1073129764643. The next prime is 1073129764697. The reversal of 1073129764680 is 864679213701.

1073129764680 is a `hidden beast` number, since 10 + 73 + 12 + 97 + 6 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2210370 + ... + 2651790.

It is an arithmetic number, because the mean of its divisors is an integer number (27958565925).

Almost surely, 2^{1073129764680} is an apocalyptic number.

1073129764680 is a gapful number since it is divisible by the number (10) 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 1073129764680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789348219200).

1073129764680 is an abundant number, since it is smaller than the sum of its proper divisors (2505566673720).

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

1073129764680 is a wasteful number, since it uses less digits than its factorization.

1073129764680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443692 (or 443682 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1073129764680 in words is "one trillion, seventy-three billion, one hundred twenty-nine million, seven hundred sixty-four thousand, six hundred eighty".