1077068658432 has 864 divisors, whose sum is σ = 3436729927680. Its totient is φ = 298120642560.

The previous prime is 1077068658349. The next prime is 1077068658437. The reversal of 1077068658432 is 2348568607701.

1077068658432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077068658437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5580666528 + ... + 5580666720.

Almost surely, 2^{1077068658432} is an apocalyptic number.

1077068658432 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 1077068658432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718364963840).

1077068658432 is an abundant number, since it is smaller than the sum of its proper divisors (2359661269248).

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

1077068658432 is a wasteful number, since it uses less digits than its factorization.

1077068658432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 1077068658432 in words is "one trillion, seventy-seven billion, sixty-eight million, six hundred fifty-eight thousand, four hundred thirty-two".