6819452640 has 1536 divisors, whose sum is σ = 34139750400. Its totient is φ = 1224253440.

The previous prime is 6819452623. The next prime is 6819452663. The reversal of 6819452640 is 462549186.

6819452640 is a `hidden beast` number, since 6 + 81 + 9 + 4 + 526 + 40 = 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 255 ways as a sum of consecutive naturals, for example, 82162039 + ... + 82162121.

It is an arithmetic number, because the mean of its divisors is an integer number (22226400).

Almost surely, 2^6819452640 is an apocalyptic number.

6819452640 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 6819452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17069875200).

6819452640 is an abundant number, since it is smaller than the sum of its proper divisors (27320297760).

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

6819452640 is a wasteful number, since it uses less digits than its factorization.

6819452640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6819452640 is about 82579.9772341940. The cubic root of 6819452640 is about 1896.3413101301.

The spelling of 6819452640 in words is "six billion, eight hundred nineteen million, four hundred fifty-two thousand, six hundred forty".