6340602367008 has 1152 divisors, whose sum is σ = 24734647461888. Its totient is φ = 1550191509504.

The previous prime is 6340602366907. The next prime is 6340602367069. The reversal of 6340602367008 is 8007632060436.

6340602367008 is a `hidden beast` number, since 6 + 3 + 4 + 0 + 602 + 36 + 7 + 0 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 805970691 + ... + 805978557.

It is an arithmetic number, because the mean of its divisors is an integer number (21471048144).

Almost surely, 2^{6340602367008} is an apocalyptic number.

6340602367008 is a gapful number since it is divisible by the number (68) 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 6340602367008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12367323730944).

6340602367008 is an abundant number, since it is smaller than the sum of its proper divisors (18394045094880).

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

6340602367008 is a wasteful number, since it uses less digits than its factorization.

6340602367008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 7976 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 6340602367008 in words is "six trillion, three hundred forty billion, six hundred two million, three hundred sixty-seven thousand, eight".