6461645400 has 480 divisors, whose sum is σ = 27007200000. Its totient is φ = 1398746880.

The previous prime is 6461645371. The next prime is 6461645417. The reversal of 6461645400 is 45461646.

6461645400 is a `hidden beast` number, since 6 + 4 + 6 + 1 + 645 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×6461645400² = 83505722550682320000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2153101 + ... + 2156099.

It is an arithmetic number, because the mean of its divisors is an integer number (56265000).

Almost surely, 2^6461645400 is an apocalyptic number.

6461645400 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 6461645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503600000).

6461645400 is an abundant number, since it is smaller than the sum of its proper divisors (20545554600).

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

6461645400 is a wasteful number, since it uses less digits than its factorization.

6461645400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6461645400 is about 80384.3604191761. The cubic root of 6461645400 is about 1862.5775917707.

The spelling of 6461645400 in words is "six billion, four hundred sixty-one million, six hundred forty-five thousand, four hundred".