6861646800 has 90 divisors (see below), whose sum is σ = 23811832902. Its totient is φ = 1829771520.

The previous prime is 6861646789. The next prime is 6861646837. The reversal of 6861646800 is 86461686.

It can be written as a sum of positive squares in 3 ways, for example, as 73205136 + 6788441664 = 8556^2 + 82392^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 949407 + ... + 956606.

Almost surely, 2^6861646800 is an apocalyptic number.

6861646800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6861646800 is an abundant number, since it is smaller than the sum of its proper divisors (16950186102).

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

6861646800 is a wasteful number, since it uses less digits than its factorization.

6861646800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906037 (or 1906023 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6861646800 is about 82835.0577955976. The cubic root of 6861646800 is about 1900.2443637689.

The spelling of 6861646800 in words is "six billion, eight hundred sixty-one million, six hundred forty-six thousand, eight hundred".