6856293600 has 432 divisors, whose sum is σ = 27011052432. Its totient is φ = 1687080960.

The previous prime is 6856293599. The next prime is 6856293641. The reversal of 6856293600 is 63926586.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2525844 + ... + 2528556.

Almost surely, 2^6856293600 is an apocalyptic number.

6856293600 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 6856293600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505526216).

6856293600 is an abundant number, since it is smaller than the sum of its proper divisors (20154758832).

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

6856293600 is a wasteful number, since it uses less digits than its factorization.

6856293600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6856293600 is about 82802.7390851293. The cubic root of 6856293600 is about 1899.7500686945.

The spelling of 6856293600 in words is "six billion, eight hundred fifty-six million, two hundred ninety-three thousand, six hundred".