2956267620768 has 1152 divisors, whose sum is σ = 10782091837440. Its totient is φ = 690994022400.

The previous prime is 2956267620767. The next prime is 2956267620773. The reversal of 2956267620768 is 8670267626592.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2956267620699 and 2956267620708.

It is not an unprimeable number, because it can be changed into a prime (2956267620767) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9629536071 + ... + 9629536377.

It is an arithmetic number, because the mean of its divisors is an integer number (9359454720).

Almost surely, 2^{2956267620768} is an apocalyptic number.

2956267620768 is a gapful number since it is divisible by the number (28) 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 2956267620768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391045918720).

2956267620768 is an abundant number, since it is smaller than the sum of its proper divisors (7825824216672).

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

2956267620768 is a wasteful number, since it uses less digits than its factorization.

2956267620768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 2956267620768 in words is "two trillion, nine hundred fifty-six billion, two hundred sixty-seven million, six hundred twenty thousand, seven hundred sixty-eight".