6797350560 has 1152 divisors, whose sum is σ = 30579462144. Its totient is φ = 1246371840.

The previous prime is 6797350523. The next prime is 6797350577. The reversal of 6797350560 is 650537976.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144624457 + ... + 144624503.

It is an arithmetic number, because the mean of its divisors is an integer number (26544672).

Almost surely, 2^6797350560 is an apocalyptic number.

6797350560 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 6797350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289731072).

6797350560 is an abundant number, since it is smaller than the sum of its proper divisors (23782111584).

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

6797350560 is a wasteful number, since it uses less digits than its factorization.

6797350560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 48.

The square root of 6797350560 is about 82446.0463576029. The cubic root of 6797350560 is about 1894.2903904131.

The spelling of 6797350560 in words is "six billion, seven hundred ninety-seven million, three hundred fifty thousand, five hundred sixty".