6916820680224 has 480 divisors, whose sum is σ = 26354255114880. Its totient is φ = 1728203931648.

The previous prime is 6916820680201. The next prime is 6916820680241. The reversal of 6916820680224 is 4220860286196.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3709872 + ... + 5253264.

It is an arithmetic number, because the mean of its divisors is an integer number (54904698156).

Almost surely, 2^{6916820680224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6916820680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177127557440).

6916820680224 is an abundant number, since it is smaller than the sum of its proper divisors (19437434434656).

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

6916820680224 is a wasteful number, since it uses less digits than its factorization.

6916820680224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543454 (or 1543437 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 6916820680224 in words is "six trillion, nine hundred sixteen billion, eight hundred twenty million, six hundred eighty thousand, two hundred twenty-four".