6816920653440 has 640 divisors, whose sum is σ = 25322371683840. Its totient is φ = 1745722368000.

The previous prime is 6816920653427. The next prime is 6816920653457. The reversal of 6816920653440 is 443560296186.

6816920653440 is a `hidden beast` number, since 6 + 8 + 1 + 69 + 2 + 0 + 6 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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, 210506050 + ... + 210538430.

It is an arithmetic number, because the mean of its divisors is an integer number (39566205756).

Almost surely, 2^{6816920653440} is an apocalyptic number.

6816920653440 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 6816920653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12661185841920).

6816920653440 is an abundant number, since it is smaller than the sum of its proper divisors (18505451030400).

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

6816920653440 is a wasteful number, since it uses less digits than its factorization.

6816920653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32574 (or 32553 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 6816920653440 in words is "six trillion, eight hundred sixteen billion, nine hundred twenty million, six hundred fifty-three thousand, four hundred forty".