6854513664000 has 896 divisors, whose sum is σ = 23742203756544. Its totient is φ = 1754234880000.

The previous prime is 6854513663983. The next prime is 6854513664017. The reversal of 6854513664000 is 4663154586.

It is an interprime number because it is at equal distance from previous prime (6854513663983) and next prime (6854513664017).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15903743785 + ... + 15903744215.

It is an arithmetic number, because the mean of its divisors is an integer number (26497995264).

Almost surely, 2^{6854513664000} is an apocalyptic number.

6854513664000 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 6854513664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871101878272).

6854513664000 is an abundant number, since it is smaller than the sum of its proper divisors (16887690092544).

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

6854513664000 is a wasteful number, since it uses less digits than its factorization.

6854513664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 6854513664000 in words is "six trillion, eight hundred fifty-four billion, five hundred thirteen million, six hundred sixty-four thousand".