6472721376 has 144 divisors (see below), whose sum is σ = 20120628528. Its totient is φ = 1957478400.

The previous prime is 6472721371. The next prime is 6472721401. The reversal of 6472721376 is 6731272746.

6472721376 is a `hidden beast` number, since 6 + 4 + 7 + 272 + 1 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6472721376² = 83792244022654666752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6472721371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1826166 + ... + 1829706.

It is an arithmetic number, because the mean of its divisors is an integer number (139726587).

Almost surely, 2^6472721376 is an apocalyptic number.

6472721376 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 6472721376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10060314264).

6472721376 is an abundant number, since it is smaller than the sum of its proper divisors (13647907152).

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

6472721376 is a wasteful number, since it uses less digits than its factorization.

6472721376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4134 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 6472721376 is about 80453.2247706703. The cubic root of 6472721376 is about 1863.6412057240.

The spelling of 6472721376 in words is "six billion, four hundred seventy-two million, seven hundred twenty-one thousand, three hundred seventy-six".