6852946320 has 240 divisors, whose sum is σ = 25317736704. Its totient is φ = 1661088000.

The previous prime is 6852946291. The next prime is 6852946337. The reversal of 6852946320 is 236492586.

6852946320 is a `hidden beast` number, since 6 + 8 + 5 + 2 + 9 + 4 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 954745 + ... + 961895.

Almost surely, 2^6852946320 is an apocalyptic number.

6852946320 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 6852946320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658868352).

6852946320 is an abundant number, since it is smaller than the sum of its proper divisors (18464790384).

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

6852946320 is a wasteful number, since it uses less digits than its factorization.

6852946320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7203 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6852946320 is about 82782.5242427410. The cubic root of 6852946320 is about 1899.4408622489.

The spelling of 6852946320 in words is "six billion, eight hundred fifty-two million, nine hundred forty-six thousand, three hundred twenty".