6746862816 has 192 divisors, whose sum is σ = 20508364800. Its totient is φ = 2155507200.

The previous prime is 6746862781. The next prime is 6746862821. The reversal of 6746862816 is 6182686476.

6746862816 is a `hidden beast` number, since 6 + 7 + 4 + 6 + 8 + 628 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2918301 + ... + 2920611.

It is an arithmetic number, because the mean of its divisors is an integer number (106814400).

Almost surely, 2^6746862816 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 6746862816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10254182400).

6746862816 is an abundant number, since it is smaller than the sum of its proper divisors (13761501984).

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

6746862816 is a wasteful number, since it uses less digits than its factorization.

6746862816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2456 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 6746862816 is about 82139.2891130670. The cubic root of 6746862816 is about 1889.5887439782.

The spelling of 6746862816 in words is "six billion, seven hundred forty-six million, eight hundred sixty-two thousand, eight hundred sixteen".