6410601600 has 384 divisors, whose sum is σ = 23486830080. Its totient is φ = 1526169600.

The previous prime is 6410601599. The next prime is 6410601623. The reversal of 6410601600 is 61060146.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3867972 + ... + 3869628.

It is an arithmetic number, because the mean of its divisors is an integer number (61163620).

Almost surely, 2^6410601600 is an apocalyptic number.

6410601600 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 6410601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743415040).

6410601600 is an abundant number, since it is smaller than the sum of its proper divisors (17076228480).

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

6410601600 is a wasteful number, since it uses less digits than its factorization.

6410601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6410601600 is about 80066.2325827811. The cubic root of 6410601600 is about 1857.6601401532.

Adding to 6410601600 its reverse (61060146), we get a palindrome (6471661746).

The spelling of 6410601600 in words is "six billion, four hundred ten million, six hundred one thousand, six hundred".