6470863394400 has 1440 divisors, whose sum is σ = 26570239708320. Its totient is φ = 1522851840000.

The previous prime is 6470863394357. The next prime is 6470863394407. The reversal of 6470863394400 is 44933680746.

6470863394400 is a `hidden beast` number, since 6 + 4 + 70 + 86 + 3 + 3 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6470863394407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2113968870 + ... + 2113971930.

It is an arithmetic number, because the mean of its divisors is an integer number (18451555353).

Almost surely, 2^{6470863394400} is an apocalyptic number.

6470863394400 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 6470863394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285119854160).

6470863394400 is an abundant number, since it is smaller than the sum of its proper divisors (20099376313920).

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

6470863394400 is a wasteful number, since it uses less digits than its factorization.

6470863394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 6470863394400 in words is "six trillion, four hundred seventy billion, eight hundred sixty-three million, three hundred ninety-four thousand, four hundred".