6461632800 has 864 divisors, whose sum is σ = 27639480960. Its totient is φ = 1389772800.

The previous prime is 6461632781. The next prime is 6461632819. The reversal of 6461632800 is 82361646.

6461632800 is a `hidden beast` number, since 6 + 4 + 616 + 32 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6461632781) and next prime (6461632819).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 109519171 + ... + 109519229.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^6461632800 is an apocalyptic number.

6461632800 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 6461632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819740480).

6461632800 is an abundant number, since it is smaller than the sum of its proper divisors (21177848160).

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

6461632800 is a wasteful number, since it uses less digits than its factorization.

6461632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6461632800 is about 80384.2820456835. The cubic root of 6461632800 is about 1862.5763811145.

The spelling of 6461632800 in words is "six billion, four hundred sixty-one million, six hundred thirty-two thousand, eight hundred".