6474470400 has 1056 divisors, whose sum is σ = 27413424000. Its totient is φ = 1486356480.

The previous prime is 6474470393. The next prime is 6474470411. The reversal of 6474470400 is 40744746.

6474470400 is a `hidden beast` number, since 647 + 4 + 4 + 7 + 0 + 4 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 223257586 + ... + 223257614.

Almost surely, 2^6474470400 is an apocalyptic number.

6474470400 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 6474470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706712000).

6474470400 is an abundant number, since it is smaller than the sum of its proper divisors (20938953600).

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

6474470400 is a wasteful number, since it uses less digits than its factorization.

6474470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 6474470400 is about 80464.0938555826. The cubic root of 6474470400 is about 1863.8090516452.

The spelling of 6474470400 in words is "six billion, four hundred seventy-four million, four hundred seventy thousand, four hundred".