1031064007680 has 2464 divisors, whose sum is σ = 4673778524160. Its totient is φ = 212840939520.

The previous prime is 1031064007679. The next prime is 1031064007733. The reversal of 1031064007680 is 867004601301.

1031064007680 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 0 + 640 + 0 + 7 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 15389015007 + ... + 15389015073.

Almost surely, 2^{1031064007680} is an apocalyptic number.

1031064007680 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 1031064007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336889262080).

1031064007680 is an abundant number, since it is smaller than the sum of its proper divisors (3642714516480).

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

1031064007680 is an equidigital number, since it uses as much as digits as its factorization.

1031064007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 1031064007680 its reverse (867004601301), we get a palindrome (1898068608981).

The spelling of 1031064007680 in words is "one trillion, thirty-one billion, sixty-four million, seven thousand, six hundred eighty".