1076386638720 has 256 divisors, whose sum is σ = 3450568999680. Its totient is φ = 285401333760.

The previous prime is 1076386638713. The next prime is 1076386638727. The reversal of 1076386638720 is 278366836701.

1076386638720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1076386638713) and next prime (1076386638727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076386638727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562668484 + ... + 562670396.

It is an arithmetic number, because the mean of its divisors is an integer number (13478785155).

Almost surely, 2^{1076386638720} is an apocalyptic number.

1076386638720 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 1076386638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725284499840).

1076386638720 is an abundant number, since it is smaller than the sum of its proper divisors (2374182360960).

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

1076386638720 is a wasteful number, since it uses less digits than its factorization.

1076386638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 1076386638720 in words is "one trillion, seventy-six billion, three hundred eighty-six million, six hundred thirty-eight thousand, seven hundred twenty".