2077761966720 has 512 divisors, whose sum is σ = 7656375571200. Its totient is φ = 473671925760.

The previous prime is 2077761966713. The next prime is 2077761966743. The reversal of 2077761966720 is 276691677702.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742852362 + ... + 742855158.

Almost surely, 2^{2077761966720} is an apocalyptic number.

2077761966720 is a gapful number since it is divisible by the number (20) 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 2077761966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828187785600).

2077761966720 is an abundant number, since it is smaller than the sum of its proper divisors (5578613604480).

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

2077761966720 is a wasteful number, since it uses less digits than its factorization.

2077761966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 60.

The spelling of 2077761966720 in words is "two trillion, seventy-seven billion, seven hundred sixty-one million, nine hundred sixty-six thousand, seven hundred twenty".