6797521473120 has 768 divisors, whose sum is σ = 27543666124800. Its totient is φ = 1533601382400.

The previous prime is 6797521473091. The next prime is 6797521473179. The reversal of 6797521473120 is 213741257976.

6797521473120 is a `hidden beast` number, since 6 + 7 + 97 + 521 + 4 + 7 + 3 + 1 + 20 = 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 127 ways as a sum of consecutive naturals, for example, 1176242391 + ... + 1176248169.

It is an arithmetic number, because the mean of its divisors is an integer number (35864148600).

Almost surely, 2^{6797521473120} is an apocalyptic number.

6797521473120 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 6797521473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771833062400).

6797521473120 is an abundant number, since it is smaller than the sum of its proper divisors (20746144651680).

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

6797521473120 is a wasteful number, since it uses less digits than its factorization.

6797521473120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 6797521473120 in words is "six trillion, seven hundred ninety-seven billion, five hundred twenty-one million, four hundred seventy-three thousand, one hundred twenty".