2956776690816 has 864 divisors, whose sum is σ = 9720986249520. Its totient is φ = 895235328000.

The previous prime is 2956776690793. The next prime is 2956776690817. The reversal of 2956776690816 is 6180966776592.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2956776690817) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11779986691 + ... + 11779986941.

Almost surely, 2^{2956776690816} is an apocalyptic number.

2956776690816 is a gapful number since it is divisible by the number (26) 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 2956776690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860493124760).

2956776690816 is an abundant number, since it is smaller than the sum of its proper divisors (6764209558704).

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

2956776690816 is an frugal number, since it uses more digits than its factorization.

2956776690816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 2956776690816 in words is "two trillion, nine hundred fifty-six billion, seven hundred seventy-six million, six hundred ninety thousand, eight hundred sixteen".