6782417460 has 864 divisors, whose sum is σ = 28331476992. Its totient is φ = 1276508160.

The previous prime is 6782417443. The next prime is 6782417503. The reversal of 6782417460 is 647142876.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 287 ways as a sum of consecutive naturals, for example, 183308562 + ... + 183308598.

Almost surely, 2^6782417460 is an apocalyptic number.

6782417460 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 6782417460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165738496).

6782417460 is an abundant number, since it is smaller than the sum of its proper divisors (21549059532).

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

6782417460 is a wasteful number, since it uses less digits than its factorization.

6782417460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6782417460 is about 82355.4337005155. The cubic root of 6782417460 is about 1892.9021844286.

The spelling of 6782417460 in words is "six billion, seven hundred eighty-two million, four hundred seventeen thousand, four hundred sixty".