1077966334944 has 288 divisors, whose sum is σ = 3194571744000. Its totient is φ = 353630914560.

The previous prime is 1077966334933. The next prime is 1077966334993. The reversal of 1077966334944 is 4494336697701.

1077966334944 is a `hidden beast` number, since 10 + 7 + 79 + 6 + 63 + 3 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1077966334944² (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, 2195450539 + ... + 2195451029.

It is an arithmetic number, because the mean of its divisors is an integer number (11092263000).

Almost surely, 2^{1077966334944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077966334944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597285872000).

1077966334944 is an abundant number, since it is smaller than the sum of its proper divisors (2116605409056).

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

1077966334944 is a wasteful number, since it uses less digits than its factorization.

1077966334944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 1077966334944 in words is "one trillion, seventy-seven billion, nine hundred sixty-six million, three hundred thirty-four thousand, nine hundred forty-four".