1061647706880 has 576 divisors, whose sum is σ = 3822718233600. Its totient is φ = 278970531840.

The previous prime is 1061647706849. The next prime is 1061647706891. The reversal of 1061647706880 is 886077461601.

1061647706880 is a `hidden beast` number, since 10 + 616 + 4 + 7 + 7 + 0 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1061647706880² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682484165 + ... + 1682484795.

It is an arithmetic number, because the mean of its divisors is an integer number (6636663600).

Almost surely, 2^{1061647706880} is an apocalyptic number.

1061647706880 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 1061647706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911359116800).

1061647706880 is an abundant number, since it is smaller than the sum of its proper divisors (2761070526720).

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

1061647706880 is an equidigital number, since it uses as much as digits as its factorization.

1061647706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1061647706880 in words is "one trillion, sixty-one billion, six hundred forty-seven million, seven hundred six thousand, eight hundred eighty".