6340363674480 has 320 divisors, whose sum is σ = 23829574809600. Its totient is φ = 1536723809280.

The previous prime is 6340363674461. The next prime is 6340363674499. The reversal of 6340363674480 is 844763630436.

6340363674480 is a `hidden beast` number, since 6 + 3 + 40 + 3 + 63 + 67 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (6340363674461) and next prime (6340363674499).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119700162 + ... + 119753118.

It is an arithmetic number, because the mean of its divisors is an integer number (74467421280).

Almost surely, 2^{6340363674480} is an apocalyptic number.

6340363674480 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 6340363674480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914787404800).

6340363674480 is an abundant number, since it is smaller than the sum of its proper divisors (17489211135120).

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

6340363674480 is a wasteful number, since it uses less digits than its factorization.

6340363674480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58029 (or 58017 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 6340363674480 in words is "six trillion, three hundred forty billion, three hundred sixty-three million, six hundred seventy-four thousand, four hundred eighty".