1056631646070 has 1024 divisors, whose sum is σ = 4034900459520. Its totient is φ = 189361152000.

The previous prime is 1056631646009. The next prime is 1056631646071. The reversal of 1056631646070 is 706461366501.

1056631646070 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 6 + 31 + 6 + 4 + 607 + 0 = 666.

It is a super-2 number, since 2×1056631646070² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056631646071) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 693782329 + ... + 693783851.

It is an arithmetic number, because the mean of its divisors is an integer number (3940332480).

Almost surely, 2^{1056631646070} is an apocalyptic number.

1056631646070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056631646070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017450229760).

1056631646070 is an abundant number, since it is smaller than the sum of its proper divisors (2978268813450).

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

1056631646070 is a wasteful number, since it uses less digits than its factorization.

1056631646070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1056631646070 in words is "one trillion, fifty-six billion, six hundred thirty-one million, six hundred forty-six thousand, seventy".