6461052400 has 240 divisors, whose sum is σ = 17491737600. Its totient is φ = 2273356800.

The previous prime is 6461052379. The next prime is 6461052401. The reversal of 6461052400 is 42501646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461052401) 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, 32467501 + ... + 32467699.

It is an arithmetic number, because the mean of its divisors is an integer number (72882240).

Almost surely, 2^6461052400 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 6461052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8745868800).

6461052400 is an abundant number, since it is smaller than the sum of its proper divisors (11030685200).

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

6461052400 is a wasteful number, since it uses less digits than its factorization.

6461052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 6461052400 is about 80380.6718061003. The cubic root of 6461052400 is about 1862.5206123569.

The spelling of 6461052400 in words is "six billion, four hundred sixty-one million, fifty-two thousand, four hundred".