1077628062720 has 352 divisors, whose sum is σ = 3802365711360. Its totient is φ = 258304245760.

The previous prime is 1077628062689. The next prime is 1077628062733. The reversal of 1077628062720 is 272608267701.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1077628062720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1077628062720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15001609 + ... + 15073271.

Almost surely, 2^{1077628062720} is an apocalyptic number.

1077628062720 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 1077628062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901182855680).

1077628062720 is an abundant number, since it is smaller than the sum of its proper divisors (2724737648640).

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

1077628062720 is a wasteful number, since it uses less digits than its factorization.

1077628062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71791 (or 71773 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 1077628062720 in words is "one trillion, seventy-seven billion, six hundred twenty-eight million, sixty-two thousand, seven hundred twenty".