1077211721664 has 504 divisors, whose sum is σ = 3671351021520. Its totient is φ = 311939776512.

The previous prime is 1077211721659. The next prime is 1077211721683. The reversal of 1077211721664 is 4661271127701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44668842 + ... + 44692950.

It is an arithmetic number, because the mean of its divisors is an integer number (7284426630).

Almost surely, 2^{1077211721664} 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 1077211721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835675510760).

1077211721664 is an abundant number, since it is smaller than the sum of its proper divisors (2594139299856).

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

1077211721664 is a wasteful number, since it uses less digits than its factorization.

1077211721664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24179 (or 24144 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 1077211721664 in words is "one trillion, seventy-seven billion, two hundred eleven million, seven hundred twenty-one thousand, six hundred sixty-four".