6472625805360 has 1600 divisors, whose sum is σ = 27478067291136. Its totient is φ = 1391020646400.

The previous prime is 6472625805337. The next prime is 6472625805397. The reversal of 6472625805360 is 635085262746.

6472625805360 is a `hidden beast` number, since 6 + 4 + 7 + 2 + 6 + 2 + 580 + 53 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6472625805297 and 6472625805306.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2430575389 + ... + 2430578051.

Almost surely, 2^{6472625805360} is an apocalyptic number.

6472625805360 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 6472625805360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739033645568).

6472625805360 is an abundant number, since it is smaller than the sum of its proper divisors (21005441485776).

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

6472625805360 is a wasteful number, since it uses less digits than its factorization.

6472625805360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 6472625805360 in words is "six trillion, four hundred seventy-two billion, six hundred twenty-five million, eight hundred five thousand, three hundred sixty".