1006761377776 has 80 divisors (see below), whose sum is σ = 2432383603200. Its totient is φ = 392169450240.

The previous prime is 1006761377747. The next prime is 1006761377833. The reversal of 1006761377776 is 6777731676001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006761377776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6575890 + ... + 6727246.

It is an arithmetic number, because the mean of its divisors is an integer number (30404795040).

Almost surely, 2^{1006761377776} is an apocalyptic number.

1006761377776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006761377776 is an abundant number, since it is smaller than the sum of its proper divisors (1425622225424).

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

1006761377776 is a wasteful number, since it uses less digits than its factorization.

1006761377776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156782 (or 156776 counting only the distinct ones).

The product of its (nonzero) digits is 10890936, while the sum is 58.

The spelling of 1006761377776 in words is "one trillion, six billion, seven hundred sixty-one million, three hundred seventy-seven thousand, seven hundred seventy-six".