1077322659840 has 576 divisors, whose sum is σ = 4358122030080. Its totient is φ = 240999137280.

The previous prime is 1077322659769. The next prime is 1077322659851. The reversal of 1077322659840 is 489562237701.

It is a happy number.

1077322659840 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 3 + 2 + 2 + 6 + 598 + 40 = 666.

1077322659840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1077322659840² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30302875 + ... + 30338405.

It is an arithmetic number, because the mean of its divisors is an integer number (7566184080).

It is a 1-persistent number, because it is pandigital, but 2⋅1077322659840 = 2154645319680 is not.

Almost surely, 2^{1077322659840} is an apocalyptic number.

1077322659840 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 1077322659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179061015040).

1077322659840 is an abundant number, since it is smaller than the sum of its proper divisors (3280799370240).

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

1077322659840 is a wasteful number, since it uses less digits than its factorization.

1077322659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35618 (or 35595 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1077322659840 in words is "one trillion, seventy-seven billion, three hundred twenty-two million, six hundred fifty-nine thousand, eight hundred forty".