6221786800 has 240 divisors, whose sum is σ = 16154394624. Its totient is φ = 2298240000.

The previous prime is 6221786789. The next prime is 6221786807. The reversal of 6221786800 is 86871226.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6221786807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32574705 + ... + 32574895.

Almost surely, 2^6221786800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6221786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8077197312).

6221786800 is an abundant number, since it is smaller than the sum of its proper divisors (9932607824).

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

6221786800 is a wasteful number, since it uses less digits than its factorization.

6221786800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 6221786800 is about 78878.3037342969. The cubic root of 6221786800 is about 1839.2398797927.

The spelling of 6221786800 in words is "six billion, two hundred twenty-one million, seven hundred eighty-six thousand, eight hundred".