1062740819712 has 576 divisors, whose sum is σ = 3426777446400. Its totient is φ = 288089948160.

The previous prime is 1062740819653. The next prime is 1062740819729. The reversal of 1062740819712 is 2179180472601.

It is a super-2 number, since 2×1062740819712² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656417239 + ... + 656418857.

It is an arithmetic number, because the mean of its divisors is an integer number (5949266400).

Almost surely, 2^{1062740819712} is an apocalyptic number.

1062740819712 is a gapful number since it is divisible by the number (12) 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 1062740819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713388723200).

1062740819712 is an abundant number, since it is smaller than the sum of its proper divisors (2364036626688).

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

1062740819712 is a wasteful number, since it uses less digits than its factorization.

1062740819712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 1062740819712 in words is "one trillion, sixty-two billion, seven hundred forty million, eight hundred nineteen thousand, seven hundred twelve".