6685286400 has 840 divisors, whose sum is σ = 27530779584. Its totient is φ = 1592524800.

The previous prime is 6685286383. The next prime is 6685286437. The reversal of 6685286400 is 46825866.

6685286400 is a `hidden beast` number, since 6 + 68 + 528 + 64 + 0 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 215654385 + ... + 215654415.

Almost surely, 2^6685286400 is an apocalyptic number.

6685286400 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 6685286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13765389792).

6685286400 is an abundant number, since it is smaller than the sum of its proper divisors (20845493184).

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

6685286400 is a wasteful number, since it uses less digits than its factorization.

6685286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6685286400 is about 81763.6007034915. The cubic root of 6685286400 is about 1883.8226130200.

6685286400 divided by its product of nonzero digits (552960) gives a triangular number (12090 = T₁₅₅).

The spelling of 6685286400 in words is "six billion, six hundred eighty-five million, two hundred eighty-six thousand, four hundred".