6472774080 has 672 divisors, whose sum is σ = 25295961600. Its totient is φ = 1510907904.

The previous prime is 6472774069. The next prime is 6472774109. The reversal of 6472774080 is 804772746.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 46566651 + ... + 46566789.

It is an arithmetic number, because the mean of its divisors is an integer number (37642800).

Almost surely, 2^6472774080 is an apocalyptic number.

6472774080 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 6472774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647980800).

6472774080 is an abundant number, since it is smaller than the sum of its proper divisors (18823187520).

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

6472774080 is a wasteful number, since it uses less digits than its factorization.

6472774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 6472774080 is about 80453.5523143633. The cubic root of 6472774080 is about 1863.6462639302.

The spelling of 6472774080 in words is "six billion, four hundred seventy-two million, seven hundred seventy-four thousand, eighty".