6767948880000 has 3840 divisors, whose sum is σ = 33070462064640. Its totient is φ = 1285079040000.

The previous prime is 6767948879977. The next prime is 6767948880031. The reversal of 6767948880000 is 888497676.

6767948880000 is a `hidden beast` number, since 6 + 7 + 6 + 79 + 488 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 6767948880000.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 40526639917 + ... + 40526640083.

It is an arithmetic number, because the mean of its divisors is an integer number (8612099496).

Almost surely, 2^{6767948880000} is an apocalyptic number.

6767948880000 is a gapful number since it is divisible by the number (60) 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 6767948880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535231032320).

6767948880000 is an abundant number, since it is smaller than the sum of its proper divisors (26302513184640).

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

6767948880000 is a wasteful number, since it uses less digits than its factorization.

6767948880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 6767948880000 in words is "six trillion, seven hundred sixty-seven billion, nine hundred forty-eight million, eight hundred eighty thousand".