6802264560 has 320 divisors, whose sum is σ = 26066331648. Its totient is φ = 1428959232.

The previous prime is 6802264549. The next prime is 6802264577. The reversal of 6802264560 is 654622086.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6398589 + ... + 6399651.

Almost surely, 2^6802264560 is an apocalyptic number.

6802264560 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 6802264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033165824).

6802264560 is an abundant number, since it is smaller than the sum of its proper divisors (19264067088).

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

6802264560 is a wasteful number, since it uses less digits than its factorization.

6802264560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 6802264560 is about 82475.8422812401. The cubic root of 6802264560 is about 1894.7467594380.

The spelling of 6802264560 in words is "six billion, eight hundred two million, two hundred sixty-four thousand, five hundred sixty".