6696333895680 has 1152 divisors, whose sum is σ = 27783027941760. Its totient is φ = 1470053744640.

The previous prime is 6696333895633. The next prime is 6696333895781. The reversal of 6696333895680 is 865983336966.

6696333895680 is a `hidden beast` number, since 6 + 6 + 96 + 33 + 389 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6696333895599 and 6696333895608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 698475847 + ... + 698485433.

It is an arithmetic number, because the mean of its divisors is an integer number (24117211755).

Almost surely, 2^{6696333895680} is an apocalyptic number.

6696333895680 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 6696333895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13891513970880).

6696333895680 is an abundant number, since it is smaller than the sum of its proper divisors (21086694046080).

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

6696333895680 is a wasteful number, since it uses less digits than its factorization.

6696333895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9697 (or 9674 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 72.

The spelling of 6696333895680 in words is "six trillion, six hundred ninety-six billion, three hundred thirty-three million, eight hundred ninety-five thousand, six hundred eighty".