2967703670880 has 1152 divisors, whose sum is σ = 11535290597376. Its totient is φ = 689762304000.

The previous prime is 2967703670797. The next prime is 2967703670903. The reversal of 2967703670880 is 880763077692.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 4937942580 + ... + 4937943180.

It is an arithmetic number, because the mean of its divisors is an integer number (10013273088).

Almost surely, 2^{2967703670880} is an apocalyptic number.

2967703670880 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 2967703670880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767645298688).

2967703670880 is an abundant number, since it is smaller than the sum of its proper divisors (8567586926496).

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

2967703670880 is a wasteful number, since it uses less digits than its factorization.

2967703670880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 2967703670880 in words is "two trillion, nine hundred sixty-seven billion, seven hundred three million, six hundred seventy thousand, eight hundred eighty".