6472472297760 has 1152 divisors, whose sum is σ = 26498577530880. Its totient is φ = 1407626035200.

The previous prime is 6472472297743. The next prime is 6472472297761. The reversal of 6472472297760 is 677922742746.

6472472297760 is a `hidden beast` number, since 6 + 4 + 7 + 2 + 472 + 2 + 97 + 76 + 0 = 666.

It is a super-2 number, since 2×6472472297760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6472472297761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5868061369 + ... + 5868062471.

It is an arithmetic number, because the mean of its divisors is an integer number (23002237440).

Almost surely, 2^{6472472297760} is an apocalyptic number.

6472472297760 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 6472472297760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249288765440).

6472472297760 is an abundant number, since it is smaller than the sum of its proper divisors (20026105233120).

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

6472472297760 is a wasteful number, since it uses less digits than its factorization.

6472472297760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 6472472297760 in words is "six trillion, four hundred seventy-two billion, four hundred seventy-two million, two hundred ninety-seven thousand, seven hundred sixty".