6406870579200 has 3888 divisors, whose sum is σ = 30572282154960. Its totient is φ = 1275293859840.

The previous prime is 6406870579111. The next prime is 6406870579247. The reversal of 6406870579200 is 29750786046.

6406870579200 is a `hidden beast` number, since 6 + 4 + 0 + 68 + 7 + 0 + 579 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 87765350364 + ... + 87765350436.

It is an arithmetic number, because the mean of its divisors is an integer number (7863241295).

Almost surely, 2^{6406870579200} is an apocalyptic number.

6406870579200 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 6406870579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15286141077480).

6406870579200 is an abundant number, since it is smaller than the sum of its proper divisors (24165411575760).

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

6406870579200 is a wasteful number, since it uses less digits than its factorization.

6406870579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 6406870579200 in words is "six trillion, four hundred six billion, eight hundred seventy million, five hundred seventy-nine thousand, two hundred".