6864137280 has 672 divisors, whose sum is σ = 31713147648. Its totient is φ = 1316044800.

The previous prime is 6864137261. The next prime is 6864137297. The reversal of 6864137280 is 827314686.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2881690 + ... + 2884070.

It is an arithmetic number, because the mean of its divisors is an integer number (47192184).

Almost surely, 2^6864137280 is an apocalyptic number.

6864137280 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 6864137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15856573824).

6864137280 is an abundant number, since it is smaller than the sum of its proper divisors (24849010368).

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

6864137280 is a wasteful number, since it uses less digits than its factorization.

6864137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6864137280 is about 82850.0891972966. The cubic root of 6864137280 is about 1900.4742380382.

The spelling of 6864137280 in words is "six billion, eight hundred sixty-four million, one hundred thirty-seven thousand, two hundred eighty".