1077281763840 has 960 divisors, whose sum is σ = 4105267246080. Its totient is φ = 260802478080.

The previous prime is 1077281763827. The next prime is 1077281763847. The reversal of 1077281763840 is 483671827701.

1077281763840 is a `hidden beast` number, since 1 + 0 + 77 + 28 + 176 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (1077281763847) 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, 3509060967 + ... + 3509061273.

It is an arithmetic number, because the mean of its divisors is an integer number (4276320048).

Almost surely, 2^{1077281763840} is an apocalyptic number.

1077281763840 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 1077281763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052633623040).

1077281763840 is an abundant number, since it is smaller than the sum of its proper divisors (3027985482240).

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

1077281763840 is an equidigital number, since it uses as much as digits as its factorization.

1077281763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 1077281763840 in words is "one trillion, seventy-seven billion, two hundred eighty-one million, seven hundred sixty-three thousand, eight hundred forty".