6406472520 has 512 divisors, whose sum is σ = 25380864000. Its totient is φ = 1407144960.

The previous prime is 6406472483. The next prime is 6406472549. The reversal of 6406472520 is 252746046.

6406472520 is a `hidden beast` number, since 6 + 4 + 0 + 64 + 72 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23639985 + ... + 23640255.

It is an arithmetic number, because the mean of its divisors is an integer number (49572000).

Almost surely, 2^6406472520 is an apocalyptic number.

6406472520 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 6406472520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12690432000).

6406472520 is an abundant number, since it is smaller than the sum of its proper divisors (18974391480).

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

6406472520 is a wasteful number, since it uses less digits than its factorization.

6406472520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6406472520 is about 80040.4430272597. The cubic root of 6406472520 is about 1857.2612137474.

The spelling of 6406472520 in words is "six billion, four hundred six million, four hundred seventy-two thousand, five hundred twenty".