1076546764800 has 1134 divisors, whose sum is σ = 4330558094772. Its totient is φ = 264996126720.

The previous prime is 1076546764793. The next prime is 1076546764801. The reversal of 1076546764800 is 84676456701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1076546764800 is a `hidden beast` number, since 10 + 7 + 6 + 546 + 7 + 6 + 4 + 80 + 0 = 666.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1076546764801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 82811289594 + ... + 82811289606.

Almost surely, 2^{1076546764800} is an apocalyptic number.

1076546764800 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 1076546764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165279047386).

1076546764800 is an abundant number, since it is smaller than the sum of its proper divisors (3254011329972).

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

1076546764800 is an frugal number, since it uses more digits than its factorization.

1076546764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1076546764800 in words is "one trillion, seventy-six billion, five hundred forty-six million, seven hundred sixty-four thousand, eight hundred".