6892257012480 has 576 divisors, whose sum is σ = 28108263859200. Its totient is φ = 1566562222080.

The previous prime is 6892257012413. The next prime is 6892257012517. The reversal of 6892257012480 is 842107522986.

6892257012480 is a `hidden beast` number, since 6 + 8 + 9 + 22 + 570 + 1 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43224100 + ... + 43383260.

It is an arithmetic number, because the mean of its divisors is an integer number (48799069200).

Almost surely, 2^{6892257012480} is an apocalyptic number.

6892257012480 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 6892257012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054131929600).

6892257012480 is an abundant number, since it is smaller than the sum of its proper divisors (21216006846720).

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

6892257012480 is a wasteful number, since it uses less digits than its factorization.

6892257012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159377 (or 159357 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 6892257012480 in words is "six trillion, eight hundred ninety-two billion, two hundred fifty-seven million, twelve thousand, four hundred eighty".