6872473440 has 432 divisors, whose sum is σ = 27487697328. Its totient is φ = 1558996992.

The previous prime is 6872473411. The next prime is 6872473463. The reversal of 6872473440 is 443742786.

6872473440 is a `hidden beast` number, since 68 + 7 + 247 + 344 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 12206599 + ... + 12207161.

It is an arithmetic number, because the mean of its divisors is an integer number (63628929).

Almost surely, 2^6872473440 is an apocalyptic number.

6872473440 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 6872473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13743848664).

6872473440 is an abundant number, since it is smaller than the sum of its proper divisors (20615223888).

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

6872473440 is a wasteful number, since it uses less digits than its factorization.

6872473440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 6872473440 is about 82900.3826287913. The cubic root of 6872473440 is about 1901.2432712332.

The spelling of 6872473440 in words is "six billion, eight hundred seventy-two million, four hundred seventy-three thousand, four hundred forty".