6472089770256 has 320 divisors, whose sum is σ = 20638036224000. Its totient is φ = 1925341125120.

The previous prime is 6472089770219. The next prime is 6472089770257. The reversal of 6472089770256 is 6520779802746.

6472089770256 is a `hidden beast` number, since 6 + 472 + 0 + 8 + 97 + 70 + 2 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6472089770193 and 6472089770202.

It is not an unprimeable number, because it can be changed into a prime (6472089770257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208297890 + ... + 208328958.

It is an arithmetic number, because the mean of its divisors is an integer number (64493863200).

Almost surely, 2^{6472089770256} is an apocalyptic number.

6472089770256 is a gapful number since it is divisible by the number (66) 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 6472089770256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319018112000).

6472089770256 is an abundant number, since it is smaller than the sum of its proper divisors (14165946453744).

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

6472089770256 is a wasteful number, since it uses less digits than its factorization.

6472089770256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31899 (or 31887 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 6472089770256 in words is "six trillion, four hundred seventy-two billion, eighty-nine million, seven hundred seventy thousand, two hundred fifty-six".