6393497040 has 480 divisors, whose sum is σ = 25592266752. Its totient is φ = 1399680000.

The previous prime is 6393497039. The next prime is 6393497057. The reversal of 6393497040 is 407943936.

6393497040 is a `hidden beast` number, since 639 + 3 + 4 + 9 + 7 + 0 + 4 + 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 95 ways as a sum of consecutive naturals, for example, 23592105 + ... + 23592375.

Almost surely, 2^6393497040 is an apocalyptic number.

6393497040 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 6393497040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796133376).

6393497040 is an abundant number, since it is smaller than the sum of its proper divisors (19198769712).

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

6393497040 is a wasteful number, since it uses less digits than its factorization.

6393497040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6393497040 is about 79959.3461704134. The cubic root of 6393497040 is about 1856.0064856219.

The spelling of 6393497040 in words is "six billion, three hundred ninety-three million, four hundred ninety-seven thousand, forty".